What is the Least Common Multiple of 86739 and 86745?

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 86739 and 86745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86739 and 86745, than apply into the LCM equation.

GCF(86739,86745) = 3
LCM(86739,86745) = ( 86739 × 86745) / 3
LCM(86739,86745) = 7524174555 / 3
LCM(86739,86745) = 2508058185

Least Common Multiple (LCM) of 86739 and 86745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86739 and 86745. First we will calculate the prime factors of 86739 and 86745.

Prime Factorization of 86739

Prime Factorization of 86745

Now multiplying the highest exponent prime factors to calculate the LCM of 86739 and 86745.

LCM(86739,86745) = 3¹ × 29¹ × 997¹ × 5¹ × 5783¹
LCM(86739,86745) = 2508058185