What is the Least Common Multiple of 63388 and 63401?

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 63388 and 63401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63388 and 63401, than apply into the LCM equation.

GCF(63388,63401) = 13
LCM(63388,63401) = ( 63388 × 63401) / 13
LCM(63388,63401) = 4018862588 / 13
LCM(63388,63401) = 309143276

Least Common Multiple (LCM) of 63388 and 63401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63388 and 63401. First we will calculate the prime factors of 63388 and 63401.

Prime Factorization of 63388

Prime Factorization of 63401

Now multiplying the highest exponent prime factors to calculate the LCM of 63388 and 63401.

LCM(63388,63401) = 2² × 13¹ × 23¹ × 53¹ × 4877¹
LCM(63388,63401) = 309143276