What is the Least Common Multiple of 17136 and 17142?

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 17136 and 17142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17136 and 17142, than apply into the LCM equation.

GCF(17136,17142) = 6
LCM(17136,17142) = ( 17136 × 17142) / 6
LCM(17136,17142) = 293745312 / 6
LCM(17136,17142) = 48957552

Least Common Multiple (LCM) of 17136 and 17142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17136 and 17142. First we will calculate the prime factors of 17136 and 17142.

Prime Factorization of 17136

Prime Factorization of 17142

Now multiplying the highest exponent prime factors to calculate the LCM of 17136 and 17142.

LCM(17136,17142) = 2⁴ × 3² × 7¹ × 17¹ × 2857¹
LCM(17136,17142) = 48957552