What is the Least Common Multiple of 85009 and 85014?

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 85009 and 85014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85009 and 85014, than apply into the LCM equation.

GCF(85009,85014) = 1
LCM(85009,85014) = ( 85009 × 85014) / 1
LCM(85009,85014) = 7226955126 / 1
LCM(85009,85014) = 7226955126

Least Common Multiple (LCM) of 85009 and 85014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85009 and 85014. First we will calculate the prime factors of 85009 and 85014.

Prime Factorization of 85009

Prime Factorization of 85014

Now multiplying the highest exponent prime factors to calculate the LCM of 85009 and 85014.

LCM(85009,85014) = 85009¹ × 2¹ × 3² × 4723¹
LCM(85009,85014) = 7226955126