What is the Least Common Multiple of 52562 and 52579?

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 52562 and 52579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52562 and 52579, than apply into the LCM equation.

GCF(52562,52579) = 1
LCM(52562,52579) = ( 52562 × 52579) / 1
LCM(52562,52579) = 2763657398 / 1
LCM(52562,52579) = 2763657398

Least Common Multiple (LCM) of 52562 and 52579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52562 and 52579. First we will calculate the prime factors of 52562 and 52579.

Prime Factorization of 52562

Prime Factorization of 52579

Now multiplying the highest exponent prime factors to calculate the LCM of 52562 and 52579.

LCM(52562,52579) = 2¹ × 41¹ × 641¹ × 52579¹
LCM(52562,52579) = 2763657398