What is the Least Common Multiple of 86180 and 86190?

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 86180 and 86190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86180 and 86190, than apply into the LCM equation.

GCF(86180,86190) = 10
LCM(86180,86190) = ( 86180 × 86190) / 10
LCM(86180,86190) = 7427854200 / 10
LCM(86180,86190) = 742785420

Least Common Multiple (LCM) of 86180 and 86190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86180 and 86190. First we will calculate the prime factors of 86180 and 86190.

Prime Factorization of 86180

Prime Factorization of 86190

Now multiplying the highest exponent prime factors to calculate the LCM of 86180 and 86190.

LCM(86180,86190) = 2² × 5¹ × 31¹ × 139¹ × 3¹ × 13² × 17¹
LCM(86180,86190) = 742785420