What is the Least Common Multiple of 86745 and 86750?

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 86745 and 86750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86745 and 86750, than apply into the LCM equation.

GCF(86745,86750) = 5
LCM(86745,86750) = ( 86745 × 86750) / 5
LCM(86745,86750) = 7525128750 / 5
LCM(86745,86750) = 1505025750

Least Common Multiple (LCM) of 86745 and 86750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86745 and 86750. First we will calculate the prime factors of 86745 and 86750.

Prime Factorization of 86745

Prime Factorization of 86750

Now multiplying the highest exponent prime factors to calculate the LCM of 86745 and 86750.

LCM(86745,86750) = 3¹ × 5³ × 5783¹ × 2¹ × 347¹
LCM(86745,86750) = 1505025750