What is the Least Common Multiple of 24978 and 24992?

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 24978 and 24992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24978 and 24992, than apply into the LCM equation.

GCF(24978,24992) = 2
LCM(24978,24992) = ( 24978 × 24992) / 2
LCM(24978,24992) = 624250176 / 2
LCM(24978,24992) = 312125088

Least Common Multiple (LCM) of 24978 and 24992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24978 and 24992. First we will calculate the prime factors of 24978 and 24992.

Prime Factorization of 24978

Prime Factorization of 24992

Now multiplying the highest exponent prime factors to calculate the LCM of 24978 and 24992.

LCM(24978,24992) = 2⁵ × 3¹ × 23¹ × 181¹ × 11¹ × 71¹
LCM(24978,24992) = 312125088