What is the Least Common Multiple of 62508 and 62519?

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 62519 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 62519, than apply into the LCM equation.

GCF(62508,62519) = 1
LCM(62508,62519) = ( 62508 × 62519) / 1
LCM(62508,62519) = 3907937652 / 1
LCM(62508,62519) = 3907937652

Least Common Multiple (LCM) of 62508 and 62519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62508 and 62519. First we will calculate the prime factors of 62508 and 62519.

Prime Factorization of 62508

Prime Factorization of 62519

Now multiplying the highest exponent prime factors to calculate the LCM of 62508 and 62519.

LCM(62508,62519) = 2² × 3¹ × 5209¹ × 101¹ × 619¹
LCM(62508,62519) = 3907937652