What is the Least Common Multiple of 37300 and 37315?

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 37300 and 37315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37300 and 37315, than apply into the LCM equation.

GCF(37300,37315) = 5
LCM(37300,37315) = ( 37300 × 37315) / 5
LCM(37300,37315) = 1391849500 / 5
LCM(37300,37315) = 278369900

Least Common Multiple (LCM) of 37300 and 37315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37300 and 37315. First we will calculate the prime factors of 37300 and 37315.

Prime Factorization of 37300

Prime Factorization of 37315

Now multiplying the highest exponent prime factors to calculate the LCM of 37300 and 37315.

LCM(37300,37315) = 2² × 5² × 373¹ × 17¹ × 439¹
LCM(37300,37315) = 278369900