What is the Least Common Multiple of 63888 and 63898?

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 63888 and 63898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63888 and 63898, than apply into the LCM equation.

GCF(63888,63898) = 2
LCM(63888,63898) = ( 63888 × 63898) / 2
LCM(63888,63898) = 4082315424 / 2
LCM(63888,63898) = 2041157712

Least Common Multiple (LCM) of 63888 and 63898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63888 and 63898. First we will calculate the prime factors of 63888 and 63898.

Prime Factorization of 63888

Prime Factorization of 63898

Now multiplying the highest exponent prime factors to calculate the LCM of 63888 and 63898.

LCM(63888,63898) = 2⁴ × 3¹ × 11³ × 43¹ × 743¹
LCM(63888,63898) = 2041157712