What is the Least Common Multiple of 32656 and 32672?

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 32656 and 32672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32656 and 32672, than apply into the LCM equation.

GCF(32656,32672) = 16
LCM(32656,32672) = ( 32656 × 32672) / 16
LCM(32656,32672) = 1066936832 / 16
LCM(32656,32672) = 66683552

Least Common Multiple (LCM) of 32656 and 32672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32656 and 32672. First we will calculate the prime factors of 32656 and 32672.

Prime Factorization of 32656

Prime Factorization of 32672

Now multiplying the highest exponent prime factors to calculate the LCM of 32656 and 32672.

LCM(32656,32672) = 2⁵ × 13¹ × 157¹ × 1021¹
LCM(32656,32672) = 66683552