What is the Least Common Multiple of 17138 and 17152?

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 17138 and 17152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17138 and 17152, than apply into the LCM equation.

GCF(17138,17152) = 2
LCM(17138,17152) = ( 17138 × 17152) / 2
LCM(17138,17152) = 293950976 / 2
LCM(17138,17152) = 146975488

Least Common Multiple (LCM) of 17138 and 17152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17138 and 17152. First we will calculate the prime factors of 17138 and 17152.

Prime Factorization of 17138

Prime Factorization of 17152

Now multiplying the highest exponent prime factors to calculate the LCM of 17138 and 17152.

LCM(17138,17152) = 2⁸ × 11¹ × 19¹ × 41¹ × 67¹
LCM(17138,17152) = 146975488