What is the Least Common Multiple of 53920 and 53925?

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 53920 and 53925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53920 and 53925, than apply into the LCM equation.

GCF(53920,53925) = 5
LCM(53920,53925) = ( 53920 × 53925) / 5
LCM(53920,53925) = 2907636000 / 5
LCM(53920,53925) = 581527200

Least Common Multiple (LCM) of 53920 and 53925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53920 and 53925. First we will calculate the prime factors of 53920 and 53925.

Prime Factorization of 53920

Prime Factorization of 53925

Now multiplying the highest exponent prime factors to calculate the LCM of 53920 and 53925.

LCM(53920,53925) = 2⁵ × 5² × 337¹ × 3¹ × 719¹
LCM(53920,53925) = 581527200