What is the Least Common Multiple of 76920 and 76925?

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 76920 and 76925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76920 and 76925, than apply into the LCM equation.

GCF(76920,76925) = 5
LCM(76920,76925) = ( 76920 × 76925) / 5
LCM(76920,76925) = 5917071000 / 5
LCM(76920,76925) = 1183414200

Least Common Multiple (LCM) of 76920 and 76925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76920 and 76925. First we will calculate the prime factors of 76920 and 76925.

Prime Factorization of 76920

Prime Factorization of 76925

Now multiplying the highest exponent prime factors to calculate the LCM of 76920 and 76925.

LCM(76920,76925) = 2³ × 3¹ × 5² × 641¹ × 17¹ × 181¹
LCM(76920,76925) = 1183414200