What is the Least Common Multiple of 24846 and 24852?

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 24846 and 24852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24846 and 24852, than apply into the LCM equation.

GCF(24846,24852) = 6
LCM(24846,24852) = ( 24846 × 24852) / 6
LCM(24846,24852) = 617472792 / 6
LCM(24846,24852) = 102912132

Least Common Multiple (LCM) of 24846 and 24852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24846 and 24852. First we will calculate the prime factors of 24846 and 24852.

Prime Factorization of 24846

Prime Factorization of 24852

Now multiplying the highest exponent prime factors to calculate the LCM of 24846 and 24852.

LCM(24846,24852) = 2² × 3¹ × 41¹ × 101¹ × 19¹ × 109¹
LCM(24846,24852) = 102912132