What is the Least Common Multiple of 81675 and 81680?

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 81675 and 81680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81675 and 81680, than apply into the LCM equation.

GCF(81675,81680) = 5
LCM(81675,81680) = ( 81675 × 81680) / 5
LCM(81675,81680) = 6671214000 / 5
LCM(81675,81680) = 1334242800

Least Common Multiple (LCM) of 81675 and 81680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81675 and 81680. First we will calculate the prime factors of 81675 and 81680.

Prime Factorization of 81675

Prime Factorization of 81680

Now multiplying the highest exponent prime factors to calculate the LCM of 81675 and 81680.

LCM(81675,81680) = 3³ × 5² × 11² × 2⁴ × 1021¹
LCM(81675,81680) = 1334242800