What is the Least Common Multiple of 2496 and 2501?

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 2496 and 2501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2496 and 2501, than apply into the LCM equation.

GCF(2496,2501) = 1
LCM(2496,2501) = ( 2496 × 2501) / 1
LCM(2496,2501) = 6242496 / 1
LCM(2496,2501) = 6242496

Least Common Multiple (LCM) of 2496 and 2501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2496 and 2501. First we will calculate the prime factors of 2496 and 2501.

Prime Factorization of 2496

Prime Factorization of 2501

Now multiplying the highest exponent prime factors to calculate the LCM of 2496 and 2501.

LCM(2496,2501) = 2⁶ × 3¹ × 13¹ × 41¹ × 61¹
LCM(2496,2501) = 6242496