What is the Least Common Multiple of 63888 and 63903?

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 63903 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 63903, than apply into the LCM equation.

GCF(63888,63903) = 3
LCM(63888,63903) = ( 63888 × 63903) / 3
LCM(63888,63903) = 4082634864 / 3
LCM(63888,63903) = 1360878288

Least Common Multiple (LCM) of 63888 and 63903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63888 and 63903. First we will calculate the prime factors of 63888 and 63903.

Prime Factorization of 63888

Prime Factorization of 63903

Now multiplying the highest exponent prime factors to calculate the LCM of 63888 and 63903.

LCM(63888,63903) = 2⁴ × 3¹ × 11³ × 7¹ × 17¹ × 179¹
LCM(63888,63903) = 1360878288