# What is the Least Common Multiple of 169 and 184?

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 169 and 184 is 31096.

LCM(169,184) = 31096

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## Least Common Multiple of 169 and 184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 169 and 184, than apply into the LCM equation.

GCF(169,184) = 1
LCM(169,184) = ( 169 × 184) / 1
LCM(169,184) = 31096 / 1
LCM(169,184) = 31096

## Least Common Multiple (LCM) of 169 and 184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 184. First we will calculate the prime factors of 169 and 184.

### Prime Factorization of 169

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

### Prime Factorization of 184

Prime factors of 184 are 2, 23. Prime factorization of 184 in exponential form is:

184 = 23 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 184.

LCM(169,184) = 132 × 23 × 231
LCM(169,184) = 31096