What is the Least Common Multiple of 82656 and 82670?

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 82656 and 82670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82656 and 82670, than apply into the LCM equation.

GCF(82656,82670) = 14
LCM(82656,82670) = ( 82656 × 82670) / 14
LCM(82656,82670) = 6833171520 / 14
LCM(82656,82670) = 488083680

Least Common Multiple (LCM) of 82656 and 82670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82656 and 82670. First we will calculate the prime factors of 82656 and 82670.

Prime Factorization of 82656

Prime Factorization of 82670

Now multiplying the highest exponent prime factors to calculate the LCM of 82656 and 82670.

LCM(82656,82670) = 2⁵ × 3² × 7¹ × 41¹ × 5¹ × 1181¹
LCM(82656,82670) = 488083680