What is the Least Common Multiple of 63888 and 63902?

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 63902 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 63902, than apply into the LCM equation.

GCF(63888,63902) = 2
LCM(63888,63902) = ( 63888 × 63902) / 2
LCM(63888,63902) = 4082570976 / 2
LCM(63888,63902) = 2041285488

Least Common Multiple (LCM) of 63888 and 63902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63888 and 63902. First we will calculate the prime factors of 63888 and 63902.

Prime Factorization of 63888

Prime Factorization of 63902

Now multiplying the highest exponent prime factors to calculate the LCM of 63888 and 63902.

LCM(63888,63902) = 2⁴ × 3¹ × 11³ × 89¹ × 359¹
LCM(63888,63902) = 2041285488