What is the Least Common Multiple of 30924 and 30938?

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 30924 and 30938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30924 and 30938, than apply into the LCM equation.

GCF(30924,30938) = 2
LCM(30924,30938) = ( 30924 × 30938) / 2
LCM(30924,30938) = 956726712 / 2
LCM(30924,30938) = 478363356

Least Common Multiple (LCM) of 30924 and 30938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30924 and 30938. First we will calculate the prime factors of 30924 and 30938.

Prime Factorization of 30924

Prime Factorization of 30938

Now multiplying the highest exponent prime factors to calculate the LCM of 30924 and 30938.

LCM(30924,30938) = 2² × 3² × 859¹ × 31¹ × 499¹
LCM(30924,30938) = 478363356