What is the Least Common Multiple of 17370 and 17386?

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 17370 and 17386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17370 and 17386, than apply into the LCM equation.

GCF(17370,17386) = 2
LCM(17370,17386) = ( 17370 × 17386) / 2
LCM(17370,17386) = 301994820 / 2
LCM(17370,17386) = 150997410

Least Common Multiple (LCM) of 17370 and 17386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17370 and 17386. First we will calculate the prime factors of 17370 and 17386.

Prime Factorization of 17370

Prime Factorization of 17386

Now multiplying the highest exponent prime factors to calculate the LCM of 17370 and 17386.

LCM(17370,17386) = 2¹ × 3² × 5¹ × 193¹ × 8693¹
LCM(17370,17386) = 150997410