What is the Least Common Multiple of 62472 and 62488?

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 62472 and 62488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62472 and 62488, than apply into the LCM equation.

GCF(62472,62488) = 8
LCM(62472,62488) = ( 62472 × 62488) / 8
LCM(62472,62488) = 3903750336 / 8
LCM(62472,62488) = 487968792

Least Common Multiple (LCM) of 62472 and 62488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62472 and 62488. First we will calculate the prime factors of 62472 and 62488.

Prime Factorization of 62472

Prime Factorization of 62488

Now multiplying the highest exponent prime factors to calculate the LCM of 62472 and 62488.

LCM(62472,62488) = 2³ × 3¹ × 19¹ × 137¹ × 73¹ × 107¹
LCM(62472,62488) = 487968792