What is the Least Common Multiple of 2480 and 2500?

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 2480 and 2500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2480 and 2500, than apply into the LCM equation.

GCF(2480,2500) = 20
LCM(2480,2500) = ( 2480 × 2500) / 20
LCM(2480,2500) = 6200000 / 20
LCM(2480,2500) = 310000

Least Common Multiple (LCM) of 2480 and 2500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2480 and 2500. First we will calculate the prime factors of 2480 and 2500.

Prime Factorization of 2480

Prime Factorization of 2500

Now multiplying the highest exponent prime factors to calculate the LCM of 2480 and 2500.

LCM(2480,2500) = 2⁴ × 5⁴ × 31¹
LCM(2480,2500) = 310000