What is the Least Common Multiple of 63854 and 63872?

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 63854 and 63872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63854 and 63872, than apply into the LCM equation.

GCF(63854,63872) = 2
LCM(63854,63872) = ( 63854 × 63872) / 2
LCM(63854,63872) = 4078482688 / 2
LCM(63854,63872) = 2039241344

Least Common Multiple (LCM) of 63854 and 63872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63854 and 63872. First we will calculate the prime factors of 63854 and 63872.

Prime Factorization of 63854

Prime Factorization of 63872

Now multiplying the highest exponent prime factors to calculate the LCM of 63854 and 63872.

LCM(63854,63872) = 2⁷ × 7¹ × 4561¹ × 499¹
LCM(63854,63872) = 2039241344