What is the Least Common Multiple of 62568 and 62579?

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 62568 and 62579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62568 and 62579, than apply into the LCM equation.

GCF(62568,62579) = 11
LCM(62568,62579) = ( 62568 × 62579) / 11
LCM(62568,62579) = 3915442872 / 11
LCM(62568,62579) = 355949352

Least Common Multiple (LCM) of 62568 and 62579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62568 and 62579. First we will calculate the prime factors of 62568 and 62579.

Prime Factorization of 62568

Prime Factorization of 62579

Now multiplying the highest exponent prime factors to calculate the LCM of 62568 and 62579.

LCM(62568,62579) = 2³ × 3² × 11¹ × 79¹ × 5689¹
LCM(62568,62579) = 355949352