What is the Least Common Multiple of 32672 and 32687?

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 32672 and 32687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32672 and 32687, than apply into the LCM equation.

GCF(32672,32687) = 1
LCM(32672,32687) = ( 32672 × 32687) / 1
LCM(32672,32687) = 1067949664 / 1
LCM(32672,32687) = 1067949664

Least Common Multiple (LCM) of 32672 and 32687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32672 and 32687. First we will calculate the prime factors of 32672 and 32687.

Prime Factorization of 32672

Prime Factorization of 32687

Now multiplying the highest exponent prime factors to calculate the LCM of 32672 and 32687.

LCM(32672,32687) = 2⁵ × 1021¹ × 32687¹
LCM(32672,32687) = 1067949664