What is the Least Common Multiple of 57920 and 57936?

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 57920 and 57936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57920 and 57936, than apply into the LCM equation.

GCF(57920,57936) = 16
LCM(57920,57936) = ( 57920 × 57936) / 16
LCM(57920,57936) = 3355653120 / 16
LCM(57920,57936) = 209728320

Least Common Multiple (LCM) of 57920 and 57936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57920 and 57936. First we will calculate the prime factors of 57920 and 57936.

Prime Factorization of 57920

Prime Factorization of 57936

Now multiplying the highest exponent prime factors to calculate the LCM of 57920 and 57936.

LCM(57920,57936) = 2⁶ × 5¹ × 181¹ × 3¹ × 17¹ × 71¹
LCM(57920,57936) = 209728320