What is the Least Common Multiple of 94096 and 94102?

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 94096 and 94102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94096 and 94102, than apply into the LCM equation.

GCF(94096,94102) = 2
LCM(94096,94102) = ( 94096 × 94102) / 2
LCM(94096,94102) = 8854621792 / 2
LCM(94096,94102) = 4427310896

Least Common Multiple (LCM) of 94096 and 94102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94096 and 94102. First we will calculate the prime factors of 94096 and 94102.

Prime Factorization of 94096

Prime Factorization of 94102

Now multiplying the highest exponent prime factors to calculate the LCM of 94096 and 94102.

LCM(94096,94102) = 2⁴ × 5881¹ × 47051¹
LCM(94096,94102) = 4427310896