What is the Least Common Multiple of 32646 and 32652?

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 32646 and 32652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32646 and 32652, than apply into the LCM equation.

GCF(32646,32652) = 6
LCM(32646,32652) = ( 32646 × 32652) / 6
LCM(32646,32652) = 1065957192 / 6
LCM(32646,32652) = 177659532

Least Common Multiple (LCM) of 32646 and 32652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32646 and 32652. First we will calculate the prime factors of 32646 and 32652.

Prime Factorization of 32646

Prime Factorization of 32652

Now multiplying the highest exponent prime factors to calculate the LCM of 32646 and 32652.

LCM(32646,32652) = 2² × 3² × 5441¹ × 907¹
LCM(32646,32652) = 177659532