# What is the Least Common Multiple of 89 and 107?

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 107 is 9523.

LCM(89,107) = 9523

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## Least Common Multiple of 89 and 107 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 107, than apply into the LCM equation.

GCF(89,107) = 1
LCM(89,107) = ( 89 × 107) / 1
LCM(89,107) = 9523 / 1
LCM(89,107) = 9523

## Least Common Multiple (LCM) of 89 and 107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89 and 107. First we will calculate the prime factors of 89 and 107.

### Prime Factorization of 89

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

89 = 891

### Prime Factorization of 107

Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:

107 = 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 89 and 107.

LCM(89,107) = 891 × 1071
LCM(89,107) = 9523