What is the Least Common Multiple of 85089 and 85109?

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 85089 and 85109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85089 and 85109, than apply into the LCM equation.

GCF(85089,85109) = 1
LCM(85089,85109) = ( 85089 × 85109) / 1
LCM(85089,85109) = 7241839701 / 1
LCM(85089,85109) = 7241839701

Least Common Multiple (LCM) of 85089 and 85109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85089 and 85109. First we will calculate the prime factors of 85089 and 85109.

Prime Factorization of 85089

Prime Factorization of 85109

Now multiplying the highest exponent prime factors to calculate the LCM of 85089 and 85109.

LCM(85089,85109) = 3¹ × 113¹ × 251¹ × 85109¹
LCM(85089,85109) = 7241839701