# What is the Least Common Multiple of 89 and 102?

*Least common multiple* or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 89 and 102 is **9078**.

LCM(89,102) = 9078

## Least Common Multiple of 89 and 102 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 89 and 102, than apply into the LCM equation.

GCF(89,102) = 1

LCM(89,102) = ( 89 × 102) / 1

LCM(89,102) = 9078 / 1

LCM(89,102) = 9078

## Least Common Multiple (LCM) of 89 and 102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 102. First we will calculate the **prime factors of 89 and 102**.

### Prime Factorization of 89

Prime factors of 89 are 89. Prime factorization of **89** in exponential form is:

89 = 89^{1}

### Prime Factorization of 102

Prime factors of 102 are 2, 3, 17. Prime factorization of **102** in exponential form is:

102 = 2^{1} × 3^{1} × 17^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 89 and 102**.

LCM(89,102) = 89^{1} × 2^{1} × 3^{1} × 17^{1}

LCM(89,102) = 9078

#### Related Least Common Multiples of 89

#### Related Least Common Multiples of 102

- LCM of 102 and 106
- LCM of 102 and 107
- LCM of 102 and 108
- LCM of 102 and 109
- LCM of 102 and 110
- LCM of 102 and 111
- LCM of 102 and 112
- LCM of 102 and 113
- LCM of 102 and 114
- LCM of 102 and 115
- LCM of 102 and 116
- LCM of 102 and 117
- LCM of 102 and 118
- LCM of 102 and 119
- LCM of 102 and 120
- LCM of 102 and 121
- LCM of 102 and 122