What is the Least Common Multiple of 63898 and 63904?

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 63898 and 63904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63898 and 63904, than apply into the LCM equation.

GCF(63898,63904) = 2
LCM(63898,63904) = ( 63898 × 63904) / 2
LCM(63898,63904) = 4083337792 / 2
LCM(63898,63904) = 2041668896

Least Common Multiple (LCM) of 63898 and 63904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63898 and 63904. First we will calculate the prime factors of 63898 and 63904.

Prime Factorization of 63898

Prime Factorization of 63904

Now multiplying the highest exponent prime factors to calculate the LCM of 63898 and 63904.

LCM(63898,63904) = 2⁵ × 43¹ × 743¹ × 1997¹
LCM(63898,63904) = 2041668896