What is the Least Common Multiple of 17824 and 17837?

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 17824 and 17837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17824 and 17837, than apply into the LCM equation.

GCF(17824,17837) = 1
LCM(17824,17837) = ( 17824 × 17837) / 1
LCM(17824,17837) = 317926688 / 1
LCM(17824,17837) = 317926688

Least Common Multiple (LCM) of 17824 and 17837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17824 and 17837. First we will calculate the prime factors of 17824 and 17837.

Prime Factorization of 17824

Prime Factorization of 17837

Now multiplying the highest exponent prime factors to calculate the LCM of 17824 and 17837.

LCM(17824,17837) = 2⁵ × 557¹ × 17837¹
LCM(17824,17837) = 317926688