What is the Least Common Multiple of 32640 and 32657?

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 32640 and 32657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32640 and 32657, than apply into the LCM equation.

GCF(32640,32657) = 17
LCM(32640,32657) = ( 32640 × 32657) / 17
LCM(32640,32657) = 1065924480 / 17
LCM(32640,32657) = 62701440

Least Common Multiple (LCM) of 32640 and 32657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32640 and 32657. First we will calculate the prime factors of 32640 and 32657.

Prime Factorization of 32640

Prime Factorization of 32657

Now multiplying the highest exponent prime factors to calculate the LCM of 32640 and 32657.

LCM(32640,32657) = 2⁷ × 3¹ × 5¹ × 17² × 113¹
LCM(32640,32657) = 62701440