What is the Least Common Multiple of 24750 and 24756?

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 24750 and 24756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24750 and 24756, than apply into the LCM equation.

GCF(24750,24756) = 6
LCM(24750,24756) = ( 24750 × 24756) / 6
LCM(24750,24756) = 612711000 / 6
LCM(24750,24756) = 102118500

Least Common Multiple (LCM) of 24750 and 24756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24750 and 24756. First we will calculate the prime factors of 24750 and 24756.

Prime Factorization of 24750

Prime Factorization of 24756

Now multiplying the highest exponent prime factors to calculate the LCM of 24750 and 24756.

LCM(24750,24756) = 2² × 3² × 5³ × 11¹ × 2063¹
LCM(24750,24756) = 102118500