What is the Least Common Multiple of 32660 and 32678?

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 32660 and 32678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32660 and 32678, than apply into the LCM equation.

GCF(32660,32678) = 2
LCM(32660,32678) = ( 32660 × 32678) / 2
LCM(32660,32678) = 1067263480 / 2
LCM(32660,32678) = 533631740

Least Common Multiple (LCM) of 32660 and 32678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32660 and 32678. First we will calculate the prime factors of 32660 and 32678.

Prime Factorization of 32660

Prime Factorization of 32678

Now multiplying the highest exponent prime factors to calculate the LCM of 32660 and 32678.

LCM(32660,32678) = 2² × 5¹ × 23¹ × 71¹ × 16339¹
LCM(32660,32678) = 533631740