What is the Least Common Multiple of 82908 and 82920?

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 82908 and 82920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82908 and 82920, than apply into the LCM equation.

GCF(82908,82920) = 12
LCM(82908,82920) = ( 82908 × 82920) / 12
LCM(82908,82920) = 6874731360 / 12
LCM(82908,82920) = 572894280

Least Common Multiple (LCM) of 82908 and 82920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82908 and 82920. First we will calculate the prime factors of 82908 and 82920.

Prime Factorization of 82908

Prime Factorization of 82920

Now multiplying the highest exponent prime factors to calculate the LCM of 82908 and 82920.

LCM(82908,82920) = 2³ × 3² × 7² × 47¹ × 5¹ × 691¹
LCM(82908,82920) = 572894280