What is the Least Common Multiple of 63882 and 63894?

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 63882 and 63894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63882 and 63894, than apply into the LCM equation.

GCF(63882,63894) = 6
LCM(63882,63894) = ( 63882 × 63894) / 6
LCM(63882,63894) = 4081676508 / 6
LCM(63882,63894) = 680279418

Least Common Multiple (LCM) of 63882 and 63894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63882 and 63894. First we will calculate the prime factors of 63882 and 63894.

Prime Factorization of 63882

Prime Factorization of 63894

Now multiplying the highest exponent prime factors to calculate the LCM of 63882 and 63894.

LCM(63882,63894) = 2¹ × 3³ × 7¹ × 13² × 23¹ × 463¹
LCM(63882,63894) = 680279418