What is the Least Common Multiple of 65304 and 65309?

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 65304 and 65309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65304 and 65309, than apply into the LCM equation.

GCF(65304,65309) = 1
LCM(65304,65309) = ( 65304 × 65309) / 1
LCM(65304,65309) = 4264938936 / 1
LCM(65304,65309) = 4264938936

Least Common Multiple (LCM) of 65304 and 65309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65304 and 65309. First we will calculate the prime factors of 65304 and 65309.

Prime Factorization of 65304

Prime Factorization of 65309

Now multiplying the highest exponent prime factors to calculate the LCM of 65304 and 65309.

LCM(65304,65309) = 2³ × 3² × 907¹ × 65309¹
LCM(65304,65309) = 4264938936