What is the Least Common Multiple of 17642 and 17655?

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 17642 and 17655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17642 and 17655, than apply into the LCM equation.

GCF(17642,17655) = 1
LCM(17642,17655) = ( 17642 × 17655) / 1
LCM(17642,17655) = 311469510 / 1
LCM(17642,17655) = 311469510

Least Common Multiple (LCM) of 17642 and 17655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17642 and 17655. First we will calculate the prime factors of 17642 and 17655.

Prime Factorization of 17642

Prime Factorization of 17655

Now multiplying the highest exponent prime factors to calculate the LCM of 17642 and 17655.

LCM(17642,17655) = 2¹ × 8821¹ × 3¹ × 5¹ × 11¹ × 107¹
LCM(17642,17655) = 311469510