What is the Least Common Multiple of 89296 and 89307?

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 89296 and 89307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89296 and 89307, than apply into the LCM equation.

GCF(89296,89307) = 1
LCM(89296,89307) = ( 89296 × 89307) / 1
LCM(89296,89307) = 7974757872 / 1
LCM(89296,89307) = 7974757872

Least Common Multiple (LCM) of 89296 and 89307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89296 and 89307. First we will calculate the prime factors of 89296 and 89307.

Prime Factorization of 89296

Prime Factorization of 89307

Now multiplying the highest exponent prime factors to calculate the LCM of 89296 and 89307.

LCM(89296,89307) = 2⁴ × 5581¹ × 3² × 9923¹
LCM(89296,89307) = 7974757872