What is the Least Common Multiple of 53912 and 53932?

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 53912 and 53932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53912 and 53932, than apply into the LCM equation.

GCF(53912,53932) = 4
LCM(53912,53932) = ( 53912 × 53932) / 4
LCM(53912,53932) = 2907581984 / 4
LCM(53912,53932) = 726895496

Least Common Multiple (LCM) of 53912 and 53932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53912 and 53932. First we will calculate the prime factors of 53912 and 53932.

Prime Factorization of 53912

Prime Factorization of 53932

Now multiplying the highest exponent prime factors to calculate the LCM of 53912 and 53932.

LCM(53912,53932) = 2³ × 23¹ × 293¹ × 97¹ × 139¹
LCM(53912,53932) = 726895496