What is the Least Common Multiple of 22750 and 22764?

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 22750 and 22764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22750 and 22764, than apply into the LCM equation.

GCF(22750,22764) = 14
LCM(22750,22764) = ( 22750 × 22764) / 14
LCM(22750,22764) = 517881000 / 14
LCM(22750,22764) = 36991500

Least Common Multiple (LCM) of 22750 and 22764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22750 and 22764. First we will calculate the prime factors of 22750 and 22764.

Prime Factorization of 22750

Prime Factorization of 22764

Now multiplying the highest exponent prime factors to calculate the LCM of 22750 and 22764.

LCM(22750,22764) = 2² × 5³ × 7¹ × 13¹ × 3¹ × 271¹
LCM(22750,22764) = 36991500