What is the Least Common Multiple of 40408 and 40414?

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 40408 and 40414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40408 and 40414, than apply into the LCM equation.

GCF(40408,40414) = 2
LCM(40408,40414) = ( 40408 × 40414) / 2
LCM(40408,40414) = 1633048912 / 2
LCM(40408,40414) = 816524456

Least Common Multiple (LCM) of 40408 and 40414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40408 and 40414. First we will calculate the prime factors of 40408 and 40414.

Prime Factorization of 40408

Prime Factorization of 40414

Now multiplying the highest exponent prime factors to calculate the LCM of 40408 and 40414.

LCM(40408,40414) = 2³ × 5051¹ × 11² × 167¹
LCM(40408,40414) = 816524456