What is the Least Common Multiple of 8912 and 8931?

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 8912 and 8931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8912 and 8931, than apply into the LCM equation.

GCF(8912,8931) = 1
LCM(8912,8931) = ( 8912 × 8931) / 1
LCM(8912,8931) = 79593072 / 1
LCM(8912,8931) = 79593072

Least Common Multiple (LCM) of 8912 and 8931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8912 and 8931. First we will calculate the prime factors of 8912 and 8931.

Prime Factorization of 8912

Prime Factorization of 8931

Now multiplying the highest exponent prime factors to calculate the LCM of 8912 and 8931.

LCM(8912,8931) = 2⁴ × 557¹ × 3¹ × 13¹ × 229¹
LCM(8912,8931) = 79593072