What is the Least Common Multiple of 35712 and 35716?

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 35716 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 35716, than apply into the LCM equation.

GCF(35712,35716) = 4
LCM(35712,35716) = ( 35712 × 35716) / 4
LCM(35712,35716) = 1275489792 / 4
LCM(35712,35716) = 318872448

Least Common Multiple (LCM) of 35712 and 35716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35712 and 35716. First we will calculate the prime factors of 35712 and 35716.

Prime Factorization of 35712

Prime Factorization of 35716

Now multiplying the highest exponent prime factors to calculate the LCM of 35712 and 35716.

LCM(35712,35716) = 2⁷ × 3² × 31¹ × 8929¹
LCM(35712,35716) = 318872448