What is the Least Common Multiple of 40409 and 40429?

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 40409 and 40429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40409 and 40429, than apply into the LCM equation.

GCF(40409,40429) = 1
LCM(40409,40429) = ( 40409 × 40429) / 1
LCM(40409,40429) = 1633695461 / 1
LCM(40409,40429) = 1633695461

Least Common Multiple (LCM) of 40409 and 40429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40409 and 40429. First we will calculate the prime factors of 40409 and 40429.

Prime Factorization of 40409

Prime Factorization of 40429

Now multiplying the highest exponent prime factors to calculate the LCM of 40409 and 40429.

LCM(40409,40429) = 17¹ × 2377¹ × 40429¹
LCM(40409,40429) = 1633695461