What is the Least Common Multiple of 32646 and 32666?

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 32666 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 32666, than apply into the LCM equation.

GCF(32646,32666) = 2
LCM(32646,32666) = ( 32646 × 32666) / 2
LCM(32646,32666) = 1066414236 / 2
LCM(32646,32666) = 533207118

Least Common Multiple (LCM) of 32646 and 32666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32646 and 32666. First we will calculate the prime factors of 32646 and 32666.

Prime Factorization of 32646

Prime Factorization of 32666

Now multiplying the highest exponent prime factors to calculate the LCM of 32646 and 32666.

LCM(32646,32666) = 2¹ × 3¹ × 5441¹ × 16333¹
LCM(32646,32666) = 533207118