What is the Least Common Multiple of 62904 and 62920?

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 62904 and 62920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62904 and 62920, than apply into the LCM equation.

GCF(62904,62920) = 8
LCM(62904,62920) = ( 62904 × 62920) / 8
LCM(62904,62920) = 3957919680 / 8
LCM(62904,62920) = 494739960

Least Common Multiple (LCM) of 62904 and 62920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62904 and 62920. First we will calculate the prime factors of 62904 and 62920.

Prime Factorization of 62904

Prime Factorization of 62920

Now multiplying the highest exponent prime factors to calculate the LCM of 62904 and 62920.

LCM(62904,62920) = 2³ × 3¹ × 2621¹ × 5¹ × 11² × 13¹
LCM(62904,62920) = 494739960