What is the Least Common Multiple of 63878 and 63888?

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 63878 and 63888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63878 and 63888, than apply into the LCM equation.

GCF(63878,63888) = 2
LCM(63878,63888) = ( 63878 × 63888) / 2
LCM(63878,63888) = 4081037664 / 2
LCM(63878,63888) = 2040518832

Least Common Multiple (LCM) of 63878 and 63888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63878 and 63888. First we will calculate the prime factors of 63878 and 63888.

Prime Factorization of 63878

Prime Factorization of 63888

Now multiplying the highest exponent prime factors to calculate the LCM of 63878 and 63888.

LCM(63878,63888) = 2⁴ × 19¹ × 41² × 3¹ × 11³
LCM(63878,63888) = 2040518832