What is the Least Common Multiple of 90296 and 90307?

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 90296 and 90307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90296 and 90307, than apply into the LCM equation.

GCF(90296,90307) = 1
LCM(90296,90307) = ( 90296 × 90307) / 1
LCM(90296,90307) = 8154360872 / 1
LCM(90296,90307) = 8154360872

Least Common Multiple (LCM) of 90296 and 90307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90296 and 90307. First we will calculate the prime factors of 90296 and 90307.

Prime Factorization of 90296

Prime Factorization of 90307

Now multiplying the highest exponent prime factors to calculate the LCM of 90296 and 90307.

LCM(90296,90307) = 2³ × 11287¹ × 7² × 19¹ × 97¹
LCM(90296,90307) = 8154360872