What is the Least Common Multiple of 32714 and 32728?

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 32714 and 32728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32714 and 32728, than apply into the LCM equation.

GCF(32714,32728) = 2
LCM(32714,32728) = ( 32714 × 32728) / 2
LCM(32714,32728) = 1070663792 / 2
LCM(32714,32728) = 535331896

Least Common Multiple (LCM) of 32714 and 32728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32714 and 32728. First we will calculate the prime factors of 32714 and 32728.

Prime Factorization of 32714

Prime Factorization of 32728

Now multiplying the highest exponent prime factors to calculate the LCM of 32714 and 32728.

LCM(32714,32728) = 2³ × 11¹ × 1487¹ × 4091¹
LCM(32714,32728) = 535331896