What is the Least Common Multiple of 40400 and 40407?

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 40400 and 40407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40400 and 40407, than apply into the LCM equation.

GCF(40400,40407) = 1
LCM(40400,40407) = ( 40400 × 40407) / 1
LCM(40400,40407) = 1632442800 / 1
LCM(40400,40407) = 1632442800

Least Common Multiple (LCM) of 40400 and 40407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40400 and 40407. First we will calculate the prime factors of 40400 and 40407.

Prime Factorization of 40400

Prime Factorization of 40407

Now multiplying the highest exponent prime factors to calculate the LCM of 40400 and 40407.

LCM(40400,40407) = 2⁴ × 5² × 101¹ × 3¹ × 13469¹
LCM(40400,40407) = 1632442800