What is the Least Common Multiple of 62508 and 62512?

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 62508 and 62512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62508 and 62512, than apply into the LCM equation.

GCF(62508,62512) = 4
LCM(62508,62512) = ( 62508 × 62512) / 4
LCM(62508,62512) = 3907500096 / 4
LCM(62508,62512) = 976875024

Least Common Multiple (LCM) of 62508 and 62512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62508 and 62512. First we will calculate the prime factors of 62508 and 62512.

Prime Factorization of 62508

Prime Factorization of 62512

Now multiplying the highest exponent prime factors to calculate the LCM of 62508 and 62512.

LCM(62508,62512) = 2⁴ × 3¹ × 5209¹ × 3907¹
LCM(62508,62512) = 976875024