What is the Least Common Multiple of 40650 and 40656?

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 40650 and 40656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40650 and 40656, than apply into the LCM equation.

GCF(40650,40656) = 6
LCM(40650,40656) = ( 40650 × 40656) / 6
LCM(40650,40656) = 1652666400 / 6
LCM(40650,40656) = 275444400

Least Common Multiple (LCM) of 40650 and 40656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40650 and 40656. First we will calculate the prime factors of 40650 and 40656.

Prime Factorization of 40650

Prime Factorization of 40656

Now multiplying the highest exponent prime factors to calculate the LCM of 40650 and 40656.

LCM(40650,40656) = 2⁴ × 3¹ × 5² × 271¹ × 7¹ × 11²
LCM(40650,40656) = 275444400