What is the Least Common Multiple of 94076 and 94096?

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 94076 and 94096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94076 and 94096, than apply into the LCM equation.

GCF(94076,94096) = 4
LCM(94076,94096) = ( 94076 × 94096) / 4
LCM(94076,94096) = 8852175296 / 4
LCM(94076,94096) = 2213043824

Least Common Multiple (LCM) of 94076 and 94096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94076 and 94096. First we will calculate the prime factors of 94076 and 94096.

Prime Factorization of 94076

Prime Factorization of 94096

Now multiplying the highest exponent prime factors to calculate the LCM of 94076 and 94096.

LCM(94076,94096) = 2⁴ × 29¹ × 811¹ × 5881¹
LCM(94076,94096) = 2213043824