What is the Least Common Multiple of 24872 and 24880?

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 24872 and 24880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24872 and 24880, than apply into the LCM equation.

GCF(24872,24880) = 8
LCM(24872,24880) = ( 24872 × 24880) / 8
LCM(24872,24880) = 618815360 / 8
LCM(24872,24880) = 77351920

Least Common Multiple (LCM) of 24872 and 24880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24872 and 24880. First we will calculate the prime factors of 24872 and 24880.

Prime Factorization of 24872

Prime Factorization of 24880

Now multiplying the highest exponent prime factors to calculate the LCM of 24872 and 24880.

LCM(24872,24880) = 2⁴ × 3109¹ × 5¹ × 311¹
LCM(24872,24880) = 77351920