What is the Least Common Multiple of 76908 and 76920?

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 76908 and 76920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76908 and 76920, than apply into the LCM equation.

GCF(76908,76920) = 12
LCM(76908,76920) = ( 76908 × 76920) / 12
LCM(76908,76920) = 5915763360 / 12
LCM(76908,76920) = 492980280

Least Common Multiple (LCM) of 76908 and 76920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76908 and 76920. First we will calculate the prime factors of 76908 and 76920.

Prime Factorization of 76908

Prime Factorization of 76920

Now multiplying the highest exponent prime factors to calculate the LCM of 76908 and 76920.

LCM(76908,76920) = 2³ × 3¹ × 13¹ × 17¹ × 29¹ × 5¹ × 641¹
LCM(76908,76920) = 492980280