What is the Least Common Multiple of 8949 and 8955?

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 of 8949 and 8955 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 8955, than apply into the LCM equation.

GCF(8949,8955) = 3
LCM(8949,8955) = ( 8949 × 8955) / 3
LCM(8949,8955) = 80138295 / 3
LCM(8949,8955) = 26712765

Least Common Multiple (LCM) of 8949 and 8955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8955. First we will calculate the prime factors of 8949 and 8955.

Prime Factorization of 8949

Prime Factorization of 8955

Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8955.

LCM(8949,8955) = 3² × 19¹ × 157¹ × 5¹ × 199¹
LCM(8949,8955) = 26712765