What is the Least Common Multiple of 34864 and 34872?

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 34864 and 34872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34864 and 34872, than apply into the LCM equation.

GCF(34864,34872) = 8
LCM(34864,34872) = ( 34864 × 34872) / 8
LCM(34864,34872) = 1215777408 / 8
LCM(34864,34872) = 151972176

Least Common Multiple (LCM) of 34864 and 34872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34864 and 34872. First we will calculate the prime factors of 34864 and 34872.

Prime Factorization of 34864

Prime Factorization of 34872

Now multiplying the highest exponent prime factors to calculate the LCM of 34864 and 34872.

LCM(34864,34872) = 2⁴ × 2179¹ × 3¹ × 1453¹
LCM(34864,34872) = 151972176