What is the Least Common Multiple of 24982 and 24988?

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 24982 and 24988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24982 and 24988, than apply into the LCM equation.

GCF(24982,24988) = 2
LCM(24982,24988) = ( 24982 × 24988) / 2
LCM(24982,24988) = 624250216 / 2
LCM(24982,24988) = 312125108

Least Common Multiple (LCM) of 24982 and 24988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24982 and 24988. First we will calculate the prime factors of 24982 and 24988.

Prime Factorization of 24982

Prime Factorization of 24988

Now multiplying the highest exponent prime factors to calculate the LCM of 24982 and 24988.

LCM(24982,24988) = 2² × 12491¹ × 6247¹
LCM(24982,24988) = 312125108