What is the Least Common Multiple of 31924 and 31938?

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 31924 and 31938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31924 and 31938, than apply into the LCM equation.

GCF(31924,31938) = 2
LCM(31924,31938) = ( 31924 × 31938) / 2
LCM(31924,31938) = 1019588712 / 2
LCM(31924,31938) = 509794356

Least Common Multiple (LCM) of 31924 and 31938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31924 and 31938. First we will calculate the prime factors of 31924 and 31938.

Prime Factorization of 31924

Prime Factorization of 31938

Now multiplying the highest exponent prime factors to calculate the LCM of 31924 and 31938.

LCM(31924,31938) = 2² × 23¹ × 347¹ × 3¹ × 5323¹
LCM(31924,31938) = 509794356