What is the Least Common Multiple of 17854 and 17872?

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 17854 and 17872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17854 and 17872, than apply into the LCM equation.

GCF(17854,17872) = 2
LCM(17854,17872) = ( 17854 × 17872) / 2
LCM(17854,17872) = 319086688 / 2
LCM(17854,17872) = 159543344

Least Common Multiple (LCM) of 17854 and 17872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17854 and 17872. First we will calculate the prime factors of 17854 and 17872.

Prime Factorization of 17854

Prime Factorization of 17872

Now multiplying the highest exponent prime factors to calculate the LCM of 17854 and 17872.

LCM(17854,17872) = 2⁴ × 79¹ × 113¹ × 1117¹
LCM(17854,17872) = 159543344