What is the Least Common Multiple of 8931 and 8944?

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 8931 and 8944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8931 and 8944, than apply into the LCM equation.

GCF(8931,8944) = 13
LCM(8931,8944) = ( 8931 × 8944) / 13
LCM(8931,8944) = 79878864 / 13
LCM(8931,8944) = 6144528

Least Common Multiple (LCM) of 8931 and 8944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8944. First we will calculate the prime factors of 8931 and 8944.

Prime Factorization of 8931

Prime Factorization of 8944

Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8944.

LCM(8931,8944) = 3¹ × 13¹ × 229¹ × 2⁴ × 43¹
LCM(8931,8944) = 6144528