What is the Least Common Multiple of 65645 and 65664?

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 65645 and 65664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65645 and 65664, than apply into the LCM equation.

GCF(65645,65664) = 19
LCM(65645,65664) = ( 65645 × 65664) / 19
LCM(65645,65664) = 4310513280 / 19
LCM(65645,65664) = 226869120

Least Common Multiple (LCM) of 65645 and 65664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65645 and 65664. First we will calculate the prime factors of 65645 and 65664.

Prime Factorization of 65645

Prime Factorization of 65664

Now multiplying the highest exponent prime factors to calculate the LCM of 65645 and 65664.

LCM(65645,65664) = 5¹ × 19¹ × 691¹ × 2⁷ × 3³
LCM(65645,65664) = 226869120