What is the Least Common Multiple of 40304 and 40309?

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 40304 and 40309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40304 and 40309, than apply into the LCM equation.

GCF(40304,40309) = 1
LCM(40304,40309) = ( 40304 × 40309) / 1
LCM(40304,40309) = 1624613936 / 1
LCM(40304,40309) = 1624613936

Least Common Multiple (LCM) of 40304 and 40309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40304 and 40309. First we will calculate the prime factors of 40304 and 40309.

Prime Factorization of 40304

Prime Factorization of 40309

Now multiplying the highest exponent prime factors to calculate the LCM of 40304 and 40309.

LCM(40304,40309) = 2⁴ × 11¹ × 229¹ × 173¹ × 233¹
LCM(40304,40309) = 1624613936