What is the Least Common Multiple of 94089 and 94109?

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 94109 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 94109, than apply into the LCM equation.

GCF(94089,94109) = 1
LCM(94089,94109) = ( 94089 × 94109) / 1
LCM(94089,94109) = 8854621701 / 1
LCM(94089,94109) = 8854621701

Least Common Multiple (LCM) of 94089 and 94109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94089 and 94109. First we will calculate the prime factors of 94089 and 94109.

Prime Factorization of 94089

Prime Factorization of 94109

Now multiplying the highest exponent prime factors to calculate the LCM of 94089 and 94109.

LCM(94089,94109) = 3¹ × 79¹ × 397¹ × 94109¹
LCM(94089,94109) = 8854621701