What is the Least Common Multiple of 73296 and 73307?

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 73296 and 73307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73296 and 73307, than apply into the LCM equation.

GCF(73296,73307) = 1
LCM(73296,73307) = ( 73296 × 73307) / 1
LCM(73296,73307) = 5373109872 / 1
LCM(73296,73307) = 5373109872

Least Common Multiple (LCM) of 73296 and 73307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73296 and 73307. First we will calculate the prime factors of 73296 and 73307.

Prime Factorization of 73296

Prime Factorization of 73307

Now multiplying the highest exponent prime factors to calculate the LCM of 73296 and 73307.

LCM(73296,73307) = 2⁴ × 3² × 509¹ × 13¹ × 5639¹
LCM(73296,73307) = 5373109872