What is the Least Common Multiple of 81680 and 81695?

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 81680 and 81695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81680 and 81695, than apply into the LCM equation.

GCF(81680,81695) = 5
LCM(81680,81695) = ( 81680 × 81695) / 5
LCM(81680,81695) = 6672847600 / 5
LCM(81680,81695) = 1334569520

Least Common Multiple (LCM) of 81680 and 81695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81680 and 81695. First we will calculate the prime factors of 81680 and 81695.

Prime Factorization of 81680

Prime Factorization of 81695

Now multiplying the highest exponent prime factors to calculate the LCM of 81680 and 81695.

LCM(81680,81695) = 2⁴ × 5¹ × 1021¹ × 16339¹
LCM(81680,81695) = 1334569520