What is the Least Common Multiple of 63884 and 63896?

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 63884 and 63896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63884 and 63896, than apply into the LCM equation.

GCF(63884,63896) = 4
LCM(63884,63896) = ( 63884 × 63896) / 4
LCM(63884,63896) = 4081932064 / 4
LCM(63884,63896) = 1020483016

Least Common Multiple (LCM) of 63884 and 63896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63884 and 63896. First we will calculate the prime factors of 63884 and 63896.

Prime Factorization of 63884

Prime Factorization of 63896

Now multiplying the highest exponent prime factors to calculate the LCM of 63884 and 63896.

LCM(63884,63896) = 2³ × 15971¹ × 7² × 163¹
LCM(63884,63896) = 1020483016