What is the Least Common Multiple of 82642 and 82656?

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 82642 and 82656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82642 and 82656, than apply into the LCM equation.

GCF(82642,82656) = 14
LCM(82642,82656) = ( 82642 × 82656) / 14
LCM(82642,82656) = 6830857152 / 14
LCM(82642,82656) = 487918368

Least Common Multiple (LCM) of 82642 and 82656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82642 and 82656. First we will calculate the prime factors of 82642 and 82656.

Prime Factorization of 82642

Prime Factorization of 82656

Now multiplying the highest exponent prime factors to calculate the LCM of 82642 and 82656.

LCM(82642,82656) = 2⁵ × 7¹ × 5903¹ × 3² × 41¹
LCM(82642,82656) = 487918368