What is the Least Common Multiple of 62484 and 62493?

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 62484 and 62493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62484 and 62493, than apply into the LCM equation.

GCF(62484,62493) = 3
LCM(62484,62493) = ( 62484 × 62493) / 3
LCM(62484,62493) = 3904812612 / 3
LCM(62484,62493) = 1301604204

Least Common Multiple (LCM) of 62484 and 62493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62484 and 62493. First we will calculate the prime factors of 62484 and 62493.

Prime Factorization of 62484

Prime Factorization of 62493

Now multiplying the highest exponent prime factors to calculate the LCM of 62484 and 62493.

LCM(62484,62493) = 2² × 3¹ × 41¹ × 127¹ × 37¹ × 563¹
LCM(62484,62493) = 1301604204