What is the Least Common Multiple of 65340 and 65355?

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 65355 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 65355, than apply into the LCM equation.

GCF(65340,65355) = 15
LCM(65340,65355) = ( 65340 × 65355) / 15
LCM(65340,65355) = 4270295700 / 15
LCM(65340,65355) = 284686380

Least Common Multiple (LCM) of 65340 and 65355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65340 and 65355. First we will calculate the prime factors of 65340 and 65355.

Prime Factorization of 65340

Prime Factorization of 65355

Now multiplying the highest exponent prime factors to calculate the LCM of 65340 and 65355.

LCM(65340,65355) = 2² × 3³ × 5¹ × 11² × 4357¹
LCM(65340,65355) = 284686380