What is the Least Common Multiple of 94089 and 94100?

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 94089 and 94100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94089 and 94100, than apply into the LCM equation.

GCF(94089,94100) = 1
LCM(94089,94100) = ( 94089 × 94100) / 1
LCM(94089,94100) = 8853774900 / 1
LCM(94089,94100) = 8853774900

Least Common Multiple (LCM) of 94089 and 94100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94089 and 94100. First we will calculate the prime factors of 94089 and 94100.

Prime Factorization of 94089

Prime Factorization of 94100

Now multiplying the highest exponent prime factors to calculate the LCM of 94089 and 94100.

LCM(94089,94100) = 3¹ × 79¹ × 397¹ × 2² × 5² × 941¹
LCM(94089,94100) = 8853774900