What is the Least Common Multiple of 24992 and 25002?

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 24992 and 25002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24992 and 25002, than apply into the LCM equation.

GCF(24992,25002) = 2
LCM(24992,25002) = ( 24992 × 25002) / 2
LCM(24992,25002) = 624849984 / 2
LCM(24992,25002) = 312424992

Least Common Multiple (LCM) of 24992 and 25002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24992 and 25002. First we will calculate the prime factors of 24992 and 25002.

Prime Factorization of 24992

Prime Factorization of 25002

Now multiplying the highest exponent prime factors to calculate the LCM of 24992 and 25002.

LCM(24992,25002) = 2⁵ × 11¹ × 71¹ × 3³ × 463¹
LCM(24992,25002) = 312424992