What is the Least Common Multiple of 63404 and 63424?

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 63404 and 63424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63404 and 63424, than apply into the LCM equation.

GCF(63404,63424) = 4
LCM(63404,63424) = ( 63404 × 63424) / 4
LCM(63404,63424) = 4021335296 / 4
LCM(63404,63424) = 1005333824

Least Common Multiple (LCM) of 63404 and 63424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63404 and 63424. First we will calculate the prime factors of 63404 and 63424.

Prime Factorization of 63404

Prime Factorization of 63424

Now multiplying the highest exponent prime factors to calculate the LCM of 63404 and 63424.

LCM(63404,63424) = 2⁶ × 11² × 131¹ × 991¹
LCM(63404,63424) = 1005333824