What is the Least Common Multiple of 22653 and 22668?

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 22653 and 22668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22653 and 22668, than apply into the LCM equation.

GCF(22653,22668) = 3
LCM(22653,22668) = ( 22653 × 22668) / 3
LCM(22653,22668) = 513498204 / 3
LCM(22653,22668) = 171166068

Least Common Multiple (LCM) of 22653 and 22668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22653 and 22668. First we will calculate the prime factors of 22653 and 22668.

Prime Factorization of 22653

Prime Factorization of 22668

Now multiplying the highest exponent prime factors to calculate the LCM of 22653 and 22668.

LCM(22653,22668) = 3³ × 839¹ × 2² × 1889¹
LCM(22653,22668) = 171166068