GCF and LCM Calculator Logo

What is the Least Common Multiple of 8949 and 8957?

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 8949 and 8957 is 80156193.

LCM(8949,8957) = 80156193

LCM Calculator and
and

Least Common Multiple of 8949 and 8957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8949 and 8957, than apply into the LCM equation.

GCF(8949,8957) = 1
LCM(8949,8957) = ( 8949 × 8957) / 1
LCM(8949,8957) = 80156193 / 1
LCM(8949,8957) = 80156193

Least Common Multiple (LCM) of 8949 and 8957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8957. First we will calculate the prime factors of 8949 and 8957.

Prime Factorization of 8949

Prime factors of 8949 are 3, 19, 157. Prime factorization of 8949 in exponential form is:

8949 = 31 × 191 × 1571

Prime Factorization of 8957

Prime factors of 8957 are 13, 53. Prime factorization of 8957 in exponential form is:

8957 = 132 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8957.

LCM(8949,8957) = 31 × 191 × 1571 × 132 × 531
LCM(8949,8957) = 80156193