What is the Least Common Multiple of 35712 and 35728?

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 35712 and 35728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35712 and 35728, than apply into the LCM equation.

GCF(35712,35728) = 16
LCM(35712,35728) = ( 35712 × 35728) / 16
LCM(35712,35728) = 1275918336 / 16
LCM(35712,35728) = 79744896

Least Common Multiple (LCM) of 35712 and 35728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35712 and 35728. First we will calculate the prime factors of 35712 and 35728.

Prime Factorization of 35712

Prime Factorization of 35728

Now multiplying the highest exponent prime factors to calculate the LCM of 35712 and 35728.

LCM(35712,35728) = 2⁷ × 3² × 31¹ × 7¹ × 11¹ × 29¹
LCM(35712,35728) = 79744896