What is the Least Common Multiple of 22647 and 22653?

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 22647 and 22653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22647 and 22653, than apply into the LCM equation.

GCF(22647,22653) = 3
LCM(22647,22653) = ( 22647 × 22653) / 3
LCM(22647,22653) = 513022491 / 3
LCM(22647,22653) = 171007497

Least Common Multiple (LCM) of 22647 and 22653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22647 and 22653. First we will calculate the prime factors of 22647 and 22653.

Prime Factorization of 22647

Prime Factorization of 22653

Now multiplying the highest exponent prime factors to calculate the LCM of 22647 and 22653.

LCM(22647,22653) = 3³ × 7549¹ × 839¹
LCM(22647,22653) = 171007497