What is the Least Common Multiple of 40300 and 40315?

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 40300 and 40315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40300 and 40315, than apply into the LCM equation.

GCF(40300,40315) = 5
LCM(40300,40315) = ( 40300 × 40315) / 5
LCM(40300,40315) = 1624694500 / 5
LCM(40300,40315) = 324938900

Least Common Multiple (LCM) of 40300 and 40315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40300 and 40315. First we will calculate the prime factors of 40300 and 40315.

Prime Factorization of 40300

Prime Factorization of 40315

Now multiplying the highest exponent prime factors to calculate the LCM of 40300 and 40315.

LCM(40300,40315) = 2² × 5² × 13¹ × 31¹ × 11¹ × 733¹
LCM(40300,40315) = 324938900