What is the Least Common Multiple of 22731 and 22740?

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 22731 and 22740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22731 and 22740, than apply into the LCM equation.

GCF(22731,22740) = 3
LCM(22731,22740) = ( 22731 × 22740) / 3
LCM(22731,22740) = 516902940 / 3
LCM(22731,22740) = 172300980

Least Common Multiple (LCM) of 22731 and 22740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22731 and 22740. First we will calculate the prime factors of 22731 and 22740.

Prime Factorization of 22731

Prime Factorization of 22740

Now multiplying the highest exponent prime factors to calculate the LCM of 22731 and 22740.

LCM(22731,22740) = 3¹ × 7577¹ × 2² × 5¹ × 379¹
LCM(22731,22740) = 172300980