What is the Least Common Multiple of 22716 and 22731?

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 22716 and 22731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22716 and 22731, than apply into the LCM equation.

GCF(22716,22731) = 3
LCM(22716,22731) = ( 22716 × 22731) / 3
LCM(22716,22731) = 516357396 / 3
LCM(22716,22731) = 172119132

Least Common Multiple (LCM) of 22716 and 22731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22716 and 22731. First we will calculate the prime factors of 22716 and 22731.

Prime Factorization of 22716

Prime Factorization of 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 22716 and 22731.

LCM(22716,22731) = 2² × 3² × 631¹ × 7577¹
LCM(22716,22731) = 172119132