What is the Least Common Multiple of 65304 and 65308?

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 65308 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 65308, than apply into the LCM equation.

GCF(65304,65308) = 4
LCM(65304,65308) = ( 65304 × 65308) / 4
LCM(65304,65308) = 4264873632 / 4
LCM(65304,65308) = 1066218408

Least Common Multiple (LCM) of 65304 and 65308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65304 and 65308. First we will calculate the prime factors of 65304 and 65308.

Prime Factorization of 65304

Prime Factorization of 65308

Now multiplying the highest exponent prime factors to calculate the LCM of 65304 and 65308.

LCM(65304,65308) = 2³ × 3² × 907¹ × 29¹ × 563¹
LCM(65304,65308) = 1066218408