What is the Least Common Multiple of 17872 and 17878?

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 17872 and 17878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17872 and 17878, than apply into the LCM equation.

GCF(17872,17878) = 2
LCM(17872,17878) = ( 17872 × 17878) / 2
LCM(17872,17878) = 319515616 / 2
LCM(17872,17878) = 159757808

Least Common Multiple (LCM) of 17872 and 17878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17872 and 17878. First we will calculate the prime factors of 17872 and 17878.

Prime Factorization of 17872

Prime Factorization of 17878

Now multiplying the highest exponent prime factors to calculate the LCM of 17872 and 17878.

LCM(17872,17878) = 2⁴ × 1117¹ × 7¹ × 1277¹
LCM(17872,17878) = 159757808