What is the Least Common Multiple of 17878 and 17896?

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 17878 and 17896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17878 and 17896, than apply into the LCM equation.

GCF(17878,17896) = 2
LCM(17878,17896) = ( 17878 × 17896) / 2
LCM(17878,17896) = 319944688 / 2
LCM(17878,17896) = 159972344

Least Common Multiple (LCM) of 17878 and 17896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17878 and 17896. First we will calculate the prime factors of 17878 and 17896.

Prime Factorization of 17878

Prime Factorization of 17896

Now multiplying the highest exponent prime factors to calculate the LCM of 17878 and 17896.

LCM(17878,17896) = 2³ × 7¹ × 1277¹ × 2237¹
LCM(17878,17896) = 159972344