What is the Least Common Multiple of 86769 and 86784?

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 86769 and 86784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86769 and 86784, than apply into the LCM equation.

GCF(86769,86784) = 3
LCM(86769,86784) = ( 86769 × 86784) / 3
LCM(86769,86784) = 7530160896 / 3
LCM(86769,86784) = 2510053632

Least Common Multiple (LCM) of 86769 and 86784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86769 and 86784. First we will calculate the prime factors of 86769 and 86784.

Prime Factorization of 86769

Prime Factorization of 86784

Now multiplying the highest exponent prime factors to calculate the LCM of 86769 and 86784.

LCM(86769,86784) = 3² × 31¹ × 311¹ × 2⁸ × 113¹
LCM(86769,86784) = 2510053632