What is the Least Common Multiple of 6642 and 6656?

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 6642 and 6656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6642 and 6656, than apply into the LCM equation.

GCF(6642,6656) = 2
LCM(6642,6656) = ( 6642 × 6656) / 2
LCM(6642,6656) = 44209152 / 2
LCM(6642,6656) = 22104576

Least Common Multiple (LCM) of 6642 and 6656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6642 and 6656. First we will calculate the prime factors of 6642 and 6656.

Prime Factorization of 6642

Prime Factorization of 6656

Now multiplying the highest exponent prime factors to calculate the LCM of 6642 and 6656.

LCM(6642,6656) = 2⁹ × 3⁴ × 41¹ × 13¹
LCM(6642,6656) = 22104576