What is the Least Common Multiple of 82688 and 82705?

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 82688 and 82705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82688 and 82705, than apply into the LCM equation.

GCF(82688,82705) = 17
LCM(82688,82705) = ( 82688 × 82705) / 17
LCM(82688,82705) = 6838711040 / 17
LCM(82688,82705) = 402277120

Least Common Multiple (LCM) of 82688 and 82705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82688 and 82705. First we will calculate the prime factors of 82688 and 82705.

Prime Factorization of 82688

Prime Factorization of 82705

Now multiplying the highest exponent prime factors to calculate the LCM of 82688 and 82705.

LCM(82688,82705) = 2⁸ × 17¹ × 19¹ × 5¹ × 7¹ × 139¹
LCM(82688,82705) = 402277120