What is the Least Common Multiple of 86045 and 86061?

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 86045 and 86061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86045 and 86061, than apply into the LCM equation.

GCF(86045,86061) = 1
LCM(86045,86061) = ( 86045 × 86061) / 1
LCM(86045,86061) = 7405118745 / 1
LCM(86045,86061) = 7405118745

Least Common Multiple (LCM) of 86045 and 86061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86045 and 86061. First we will calculate the prime factors of 86045 and 86061.

Prime Factorization of 86045

Prime Factorization of 86061

Now multiplying the highest exponent prime factors to calculate the LCM of 86045 and 86061.

LCM(86045,86061) = 5¹ × 17209¹ × 3¹ × 28687¹
LCM(86045,86061) = 7405118745