What is the Least Common Multiple of 86720 and 86735?

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 86720 and 86735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86720 and 86735, than apply into the LCM equation.

GCF(86720,86735) = 5
LCM(86720,86735) = ( 86720 × 86735) / 5
LCM(86720,86735) = 7521659200 / 5
LCM(86720,86735) = 1504331840

Least Common Multiple (LCM) of 86720 and 86735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86720 and 86735. First we will calculate the prime factors of 86720 and 86735.

Prime Factorization of 86720

Prime Factorization of 86735

Now multiplying the highest exponent prime factors to calculate the LCM of 86720 and 86735.

LCM(86720,86735) = 2⁶ × 5¹ × 271¹ × 11¹ × 19¹ × 83¹
LCM(86720,86735) = 1504331840