What is the Least Common Multiple of 920 and 925?

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 920 and 925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 920 and 925, than apply into the LCM equation.

GCF(920,925) = 5
LCM(920,925) = ( 920 × 925) / 5
LCM(920,925) = 851000 / 5
LCM(920,925) = 170200

Least Common Multiple (LCM) of 920 and 925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 925. First we will calculate the prime factors of 920 and 925.

Prime Factorization of 920

Prime Factorization of 925

Now multiplying the highest exponent prime factors to calculate the LCM of 920 and 925.

LCM(920,925) = 2³ × 5² × 23¹ × 37¹
LCM(920,925) = 170200