What is the Least Common Multiple of 86009 and 86016?

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 86009 and 86016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86009 and 86016, than apply into the LCM equation.

GCF(86009,86016) = 7
LCM(86009,86016) = ( 86009 × 86016) / 7
LCM(86009,86016) = 7398150144 / 7
LCM(86009,86016) = 1056878592

Least Common Multiple (LCM) of 86009 and 86016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86009 and 86016. First we will calculate the prime factors of 86009 and 86016.

Prime Factorization of 86009

Prime Factorization of 86016

Now multiplying the highest exponent prime factors to calculate the LCM of 86009 and 86016.

LCM(86009,86016) = 7¹ × 11¹ × 1117¹ × 2¹² × 3¹
LCM(86009,86016) = 1056878592