What is the Least Common Multiple of 24792 and 24807?

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 24792 and 24807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24792 and 24807, than apply into the LCM equation.

GCF(24792,24807) = 3
LCM(24792,24807) = ( 24792 × 24807) / 3
LCM(24792,24807) = 615015144 / 3
LCM(24792,24807) = 205005048

Least Common Multiple (LCM) of 24792 and 24807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24792 and 24807. First we will calculate the prime factors of 24792 and 24807.

Prime Factorization of 24792

Prime Factorization of 24807

Now multiplying the highest exponent prime factors to calculate the LCM of 24792 and 24807.

LCM(24792,24807) = 2³ × 3¹ × 1033¹ × 8269¹
LCM(24792,24807) = 205005048