What is the Least Common Multiple of 86784 and 86790?

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 86784 and 86790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86784 and 86790, than apply into the LCM equation.

GCF(86784,86790) = 6
LCM(86784,86790) = ( 86784 × 86790) / 6
LCM(86784,86790) = 7531983360 / 6
LCM(86784,86790) = 1255330560

Least Common Multiple (LCM) of 86784 and 86790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86784 and 86790. First we will calculate the prime factors of 86784 and 86790.

Prime Factorization of 86784

Prime Factorization of 86790

Now multiplying the highest exponent prime factors to calculate the LCM of 86784 and 86790.

LCM(86784,86790) = 2⁸ × 3¹ × 113¹ × 5¹ × 11¹ × 263¹
LCM(86784,86790) = 1255330560