What is the Least Common Multiple of 86459 and 86465?

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 86459 and 86465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86459 and 86465, than apply into the LCM equation.

GCF(86459,86465) = 1
LCM(86459,86465) = ( 86459 × 86465) / 1
LCM(86459,86465) = 7475677435 / 1
LCM(86459,86465) = 7475677435

Least Common Multiple (LCM) of 86459 and 86465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86459 and 86465. First we will calculate the prime factors of 86459 and 86465.

Prime Factorization of 86459

Prime Factorization of 86465

Now multiplying the highest exponent prime factors to calculate the LCM of 86459 and 86465.

LCM(86459,86465) = 31¹ × 2789¹ × 5¹ × 17293¹
LCM(86459,86465) = 7475677435