What is the Least Common Multiple of 17142 and 17162?

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 17142 and 17162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17142 and 17162, than apply into the LCM equation.

GCF(17142,17162) = 2
LCM(17142,17162) = ( 17142 × 17162) / 2
LCM(17142,17162) = 294191004 / 2
LCM(17142,17162) = 147095502

Least Common Multiple (LCM) of 17142 and 17162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17142 and 17162. First we will calculate the prime factors of 17142 and 17162.

Prime Factorization of 17142

Prime Factorization of 17162

Now multiplying the highest exponent prime factors to calculate the LCM of 17142 and 17162.

LCM(17142,17162) = 2¹ × 3¹ × 2857¹ × 8581¹
LCM(17142,17162) = 147095502