What is the Least Common Multiple of 32715 and 32735?

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 32715 and 32735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32715 and 32735, than apply into the LCM equation.

GCF(32715,32735) = 5
LCM(32715,32735) = ( 32715 × 32735) / 5
LCM(32715,32735) = 1070925525 / 5
LCM(32715,32735) = 214185105

Least Common Multiple (LCM) of 32715 and 32735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32715 and 32735. First we will calculate the prime factors of 32715 and 32735.

Prime Factorization of 32715

Prime Factorization of 32735

Now multiplying the highest exponent prime factors to calculate the LCM of 32715 and 32735.

LCM(32715,32735) = 3² × 5¹ × 727¹ × 6547¹
LCM(32715,32735) = 214185105