What is the Least Common Multiple of 65718 and 65736?

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 65718 and 65736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65718 and 65736, than apply into the LCM equation.

GCF(65718,65736) = 18
LCM(65718,65736) = ( 65718 × 65736) / 18
LCM(65718,65736) = 4320038448 / 18
LCM(65718,65736) = 240002136

Least Common Multiple (LCM) of 65718 and 65736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65718 and 65736. First we will calculate the prime factors of 65718 and 65736.

Prime Factorization of 65718

Prime Factorization of 65736

Now multiplying the highest exponent prime factors to calculate the LCM of 65718 and 65736.

LCM(65718,65736) = 2³ × 3³ × 1217¹ × 11¹ × 83¹
LCM(65718,65736) = 240002136