What is the Least Common Multiple of 62519 and 62530?

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 62519 and 62530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62519 and 62530, than apply into the LCM equation.

GCF(62519,62530) = 1
LCM(62519,62530) = ( 62519 × 62530) / 1
LCM(62519,62530) = 3909313070 / 1
LCM(62519,62530) = 3909313070

Least Common Multiple (LCM) of 62519 and 62530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62519 and 62530. First we will calculate the prime factors of 62519 and 62530.

Prime Factorization of 62519

Prime Factorization of 62530

Now multiplying the highest exponent prime factors to calculate the LCM of 62519 and 62530.

LCM(62519,62530) = 101¹ × 619¹ × 2¹ × 5¹ × 13² × 37¹
LCM(62519,62530) = 3909313070