What is the Least Common Multiple of 65340 and 65358?

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 65340 and 65358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65340 and 65358, than apply into the LCM equation.

GCF(65340,65358) = 18
LCM(65340,65358) = ( 65340 × 65358) / 18
LCM(65340,65358) = 4270491720 / 18
LCM(65340,65358) = 237249540

Least Common Multiple (LCM) of 65340 and 65358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65340 and 65358. First we will calculate the prime factors of 65340 and 65358.

Prime Factorization of 65340

Prime Factorization of 65358

Now multiplying the highest exponent prime factors to calculate the LCM of 65340 and 65358.

LCM(65340,65358) = 2² × 3³ × 5¹ × 11² × 3631¹
LCM(65340,65358) = 237249540