What is the Least Common Multiple of 86709 and 86720?

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 86709 and 86720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86709 and 86720, than apply into the LCM equation.

GCF(86709,86720) = 1
LCM(86709,86720) = ( 86709 × 86720) / 1
LCM(86709,86720) = 7519404480 / 1
LCM(86709,86720) = 7519404480

Least Common Multiple (LCM) of 86709 and 86720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86709 and 86720. First we will calculate the prime factors of 86709 and 86720.

Prime Factorization of 86709

Prime Factorization of 86720

Now multiplying the highest exponent prime factors to calculate the LCM of 86709 and 86720.

LCM(86709,86720) = 3¹ × 7¹ × 4129¹ × 2⁶ × 5¹ × 271¹
LCM(86709,86720) = 7519404480