What is the Least Common Multiple of 24860 and 24875?

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 24860 and 24875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24860 and 24875, than apply into the LCM equation.

GCF(24860,24875) = 5
LCM(24860,24875) = ( 24860 × 24875) / 5
LCM(24860,24875) = 618392500 / 5
LCM(24860,24875) = 123678500

Least Common Multiple (LCM) of 24860 and 24875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24860 and 24875. First we will calculate the prime factors of 24860 and 24875.

Prime Factorization of 24860

Prime Factorization of 24875

Now multiplying the highest exponent prime factors to calculate the LCM of 24860 and 24875.

LCM(24860,24875) = 2² × 5³ × 11¹ × 113¹ × 199¹
LCM(24860,24875) = 123678500