What is the Least Common Multiple of 912 and 931?

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 912 and 931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 912 and 931, than apply into the LCM equation.

GCF(912,931) = 19
LCM(912,931) = ( 912 × 931) / 19
LCM(912,931) = 849072 / 19
LCM(912,931) = 44688

Least Common Multiple (LCM) of 912 and 931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 912 and 931. First we will calculate the prime factors of 912 and 931.

Prime Factorization of 912

Prime Factorization of 931

Now multiplying the highest exponent prime factors to calculate the LCM of 912 and 931.

LCM(912,931) = 2⁴ × 3¹ × 19¹ × 7²
LCM(912,931) = 44688