What is the Least Common Multiple of 57936 and 57956?

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 57936 and 57956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57936 and 57956, than apply into the LCM equation.

GCF(57936,57956) = 4
LCM(57936,57956) = ( 57936 × 57956) / 4
LCM(57936,57956) = 3357738816 / 4
LCM(57936,57956) = 839434704

Least Common Multiple (LCM) of 57936 and 57956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57936 and 57956. First we will calculate the prime factors of 57936 and 57956.

Prime Factorization of 57936

Prime Factorization of 57956

Now multiplying the highest exponent prime factors to calculate the LCM of 57936 and 57956.

LCM(57936,57956) = 2⁴ × 3¹ × 17¹ × 71¹ × 14489¹
LCM(57936,57956) = 839434704