What is the Least Common Multiple of 62484 and 62498?

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 62498 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 62498, than apply into the LCM equation.

GCF(62484,62498) = 2
LCM(62484,62498) = ( 62484 × 62498) / 2
LCM(62484,62498) = 3905125032 / 2
LCM(62484,62498) = 1952562516

Least Common Multiple (LCM) of 62484 and 62498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62484 and 62498. First we will calculate the prime factors of 62484 and 62498.

Prime Factorization of 62484

Prime Factorization of 62498

Now multiplying the highest exponent prime factors to calculate the LCM of 62484 and 62498.

LCM(62484,62498) = 2² × 3¹ × 41¹ × 127¹ × 31249¹
LCM(62484,62498) = 1952562516