What is the Least Common Multiple of 61992 and 62004?

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 61992 and 62004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61992 and 62004, than apply into the LCM equation.

GCF(61992,62004) = 12
LCM(61992,62004) = ( 61992 × 62004) / 12
LCM(61992,62004) = 3843751968 / 12
LCM(61992,62004) = 320312664

Least Common Multiple (LCM) of 61992 and 62004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61992 and 62004. First we will calculate the prime factors of 61992 and 62004.

Prime Factorization of 61992

Prime Factorization of 62004

Now multiplying the highest exponent prime factors to calculate the LCM of 61992 and 62004.

LCM(61992,62004) = 2³ × 3³ × 7¹ × 41¹ × 5167¹
LCM(61992,62004) = 320312664