What is the Least Common Multiple of 56924 and 56938?

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 56924 and 56938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56924 and 56938, than apply into the LCM equation.

GCF(56924,56938) = 14
LCM(56924,56938) = ( 56924 × 56938) / 14
LCM(56924,56938) = 3241138712 / 14
LCM(56924,56938) = 231509908

Least Common Multiple (LCM) of 56924 and 56938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56924 and 56938. First we will calculate the prime factors of 56924 and 56938.

Prime Factorization of 56924

Prime Factorization of 56938

Now multiplying the highest exponent prime factors to calculate the LCM of 56924 and 56938.

LCM(56924,56938) = 2² × 7³ × 19¹ × 107¹ × 83¹
LCM(56924,56938) = 231509908