What is the Least Common Multiple of 57912 and 57931?

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 57912 and 57931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57912 and 57931, than apply into the LCM equation.

GCF(57912,57931) = 19
LCM(57912,57931) = ( 57912 × 57931) / 19
LCM(57912,57931) = 3354900072 / 19
LCM(57912,57931) = 176573688

Least Common Multiple (LCM) of 57912 and 57931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57912 and 57931. First we will calculate the prime factors of 57912 and 57931.

Prime Factorization of 57912

Prime Factorization of 57931

Now multiplying the highest exponent prime factors to calculate the LCM of 57912 and 57931.

LCM(57912,57931) = 2³ × 3¹ × 19¹ × 127¹ × 3049¹
LCM(57912,57931) = 176573688