What is the Least Common Multiple of 62474 and 62484?

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 62474 and 62484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62474 and 62484, than apply into the LCM equation.

GCF(62474,62484) = 2
LCM(62474,62484) = ( 62474 × 62484) / 2
LCM(62474,62484) = 3903625416 / 2
LCM(62474,62484) = 1951812708

Least Common Multiple (LCM) of 62474 and 62484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62474 and 62484. First we will calculate the prime factors of 62474 and 62484.

Prime Factorization of 62474

Prime Factorization of 62484

Now multiplying the highest exponent prime factors to calculate the LCM of 62474 and 62484.

LCM(62474,62484) = 2² × 31237¹ × 3¹ × 41¹ × 127¹
LCM(62474,62484) = 1951812708