What is the Least Common Multiple of 40656 and 40671?

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 40656 and 40671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40656 and 40671, than apply into the LCM equation.

GCF(40656,40671) = 3
LCM(40656,40671) = ( 40656 × 40671) / 3
LCM(40656,40671) = 1653520176 / 3
LCM(40656,40671) = 551173392

Least Common Multiple (LCM) of 40656 and 40671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40656 and 40671. First we will calculate the prime factors of 40656 and 40671.

Prime Factorization of 40656

Prime Factorization of 40671

Now multiplying the highest exponent prime factors to calculate the LCM of 40656 and 40671.

LCM(40656,40671) = 2⁴ × 3² × 7¹ × 11² × 4519¹
LCM(40656,40671) = 551173392