What is the Least Common Multiple of 73304 and 73321?

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 73304 and 73321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73304 and 73321, than apply into the LCM equation.

GCF(73304,73321) = 17
LCM(73304,73321) = ( 73304 × 73321) / 17
LCM(73304,73321) = 5374722584 / 17
LCM(73304,73321) = 316160152

Least Common Multiple (LCM) of 73304 and 73321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73304 and 73321. First we will calculate the prime factors of 73304 and 73321.

Prime Factorization of 73304

Prime Factorization of 73321

Now multiplying the highest exponent prime factors to calculate the LCM of 73304 and 73321.

LCM(73304,73321) = 2³ × 7² × 11¹ × 17¹ × 19¹ × 227¹
LCM(73304,73321) = 316160152