What is the Least Common Multiple of 17875 and 17884?

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 17875 and 17884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17875 and 17884, than apply into the LCM equation.

GCF(17875,17884) = 1
LCM(17875,17884) = ( 17875 × 17884) / 1
LCM(17875,17884) = 319676500 / 1
LCM(17875,17884) = 319676500

Least Common Multiple (LCM) of 17875 and 17884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17875 and 17884. First we will calculate the prime factors of 17875 and 17884.

Prime Factorization of 17875

Prime Factorization of 17884

Now multiplying the highest exponent prime factors to calculate the LCM of 17875 and 17884.

LCM(17875,17884) = 5³ × 11¹ × 13¹ × 2² × 17¹ × 263¹
LCM(17875,17884) = 319676500