What is the Least Common Multiple of 73304 and 73312?

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 73312 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 73312, than apply into the LCM equation.

GCF(73304,73312) = 8
LCM(73304,73312) = ( 73304 × 73312) / 8
LCM(73304,73312) = 5374062848 / 8
LCM(73304,73312) = 671757856

Least Common Multiple (LCM) of 73304 and 73312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73304 and 73312. First we will calculate the prime factors of 73304 and 73312.

Prime Factorization of 73304

Prime Factorization of 73312

Now multiplying the highest exponent prime factors to calculate the LCM of 73304 and 73312.

LCM(73304,73312) = 2⁵ × 7² × 11¹ × 17¹ × 29¹ × 79¹
LCM(73304,73312) = 671757856