What is the Least Common Multiple of 65325 and 65340?

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 65325 and 65340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65325 and 65340, than apply into the LCM equation.

GCF(65325,65340) = 15
LCM(65325,65340) = ( 65325 × 65340) / 15
LCM(65325,65340) = 4268335500 / 15
LCM(65325,65340) = 284555700

Least Common Multiple (LCM) of 65325 and 65340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65325 and 65340. First we will calculate the prime factors of 65325 and 65340.

Prime Factorization of 65325

Prime Factorization of 65340

Now multiplying the highest exponent prime factors to calculate the LCM of 65325 and 65340.

LCM(65325,65340) = 3³ × 5² × 13¹ × 67¹ × 2² × 11²
LCM(65325,65340) = 284555700