GCF and LCM Calculator Logo

What is the Least Common Multiple of 18157 and 18161?

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 18157 and 18161 is 329749277.

LCM(18157,18161) = 329749277

LCM Calculator and
and

Least Common Multiple of 18157 and 18161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18157 and 18161, than apply into the LCM equation.

GCF(18157,18161) = 1
LCM(18157,18161) = ( 18157 × 18161) / 1
LCM(18157,18161) = 329749277 / 1
LCM(18157,18161) = 329749277

Least Common Multiple (LCM) of 18157 and 18161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18157 and 18161. First we will calculate the prime factors of 18157 and 18161.

Prime Factorization of 18157

Prime factors of 18157 are 67, 271. Prime factorization of 18157 in exponential form is:

18157 = 671 × 2711

Prime Factorization of 18161

Prime factors of 18161 are 11, 13, 127. Prime factorization of 18161 in exponential form is:

18161 = 111 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 18157 and 18161.

LCM(18157,18161) = 671 × 2711 × 111 × 131 × 1271
LCM(18157,18161) = 329749277