What is the Least Common Multiple of 17646 and 17652?

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 17646 and 17652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17646 and 17652, than apply into the LCM equation.

GCF(17646,17652) = 6
LCM(17646,17652) = ( 17646 × 17652) / 6
LCM(17646,17652) = 311487192 / 6
LCM(17646,17652) = 51914532

Least Common Multiple (LCM) of 17646 and 17652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17646 and 17652. First we will calculate the prime factors of 17646 and 17652.

Prime Factorization of 17646

Prime Factorization of 17652

Now multiplying the highest exponent prime factors to calculate the LCM of 17646 and 17652.

LCM(17646,17652) = 2² × 3¹ × 17¹ × 173¹ × 1471¹
LCM(17646,17652) = 51914532