What is the Least Common Multiple of 65316 and 65336?

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 65316 and 65336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65316 and 65336, than apply into the LCM equation.

GCF(65316,65336) = 4
LCM(65316,65336) = ( 65316 × 65336) / 4
LCM(65316,65336) = 4267486176 / 4
LCM(65316,65336) = 1066871544

Least Common Multiple (LCM) of 65316 and 65336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65316 and 65336. First we will calculate the prime factors of 65316 and 65336.

Prime Factorization of 65316

Prime Factorization of 65336

Now multiplying the highest exponent prime factors to calculate the LCM of 65316 and 65336.

LCM(65316,65336) = 2³ × 3¹ × 5443¹ × 8167¹
LCM(65316,65336) = 1066871544