What is the Least Common Multiple of 63843 and 63856?

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 63843 and 63856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63843 and 63856, than apply into the LCM equation.

GCF(63843,63856) = 13
LCM(63843,63856) = ( 63843 × 63856) / 13
LCM(63843,63856) = 4076758608 / 13
LCM(63843,63856) = 313596816

Least Common Multiple (LCM) of 63843 and 63856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63843 and 63856. First we will calculate the prime factors of 63843 and 63856.

Prime Factorization of 63843

Prime Factorization of 63856

Now multiplying the highest exponent prime factors to calculate the LCM of 63843 and 63856.

LCM(63843,63856) = 3¹ × 13¹ × 1637¹ × 2⁴ × 307¹
LCM(63843,63856) = 313596816