What is the Least Common Multiple of 30825 and 30837?

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 30825 and 30837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30825 and 30837, than apply into the LCM equation.

GCF(30825,30837) = 3
LCM(30825,30837) = ( 30825 × 30837) / 3
LCM(30825,30837) = 950550525 / 3
LCM(30825,30837) = 316850175

Least Common Multiple (LCM) of 30825 and 30837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30825 and 30837. First we will calculate the prime factors of 30825 and 30837.

Prime Factorization of 30825

Prime Factorization of 30837

Now multiplying the highest exponent prime factors to calculate the LCM of 30825 and 30837.

LCM(30825,30837) = 3² × 5² × 137¹ × 19¹ × 541¹
LCM(30825,30837) = 316850175