What is the Least Common Multiple of 52494 and 52501?

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 52494 and 52501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52494 and 52501, than apply into the LCM equation.

GCF(52494,52501) = 1
LCM(52494,52501) = ( 52494 × 52501) / 1
LCM(52494,52501) = 2755987494 / 1
LCM(52494,52501) = 2755987494

Least Common Multiple (LCM) of 52494 and 52501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52494 and 52501. First we will calculate the prime factors of 52494 and 52501.

Prime Factorization of 52494

Prime Factorization of 52501

Now multiplying the highest exponent prime factors to calculate the LCM of 52494 and 52501.

LCM(52494,52501) = 2¹ × 3¹ × 13¹ × 673¹ × 52501¹
LCM(52494,52501) = 2755987494