What is the Least Common Multiple of 63808 and 63822?

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 63808 and 63822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63808 and 63822, than apply into the LCM equation.

GCF(63808,63822) = 2
LCM(63808,63822) = ( 63808 × 63822) / 2
LCM(63808,63822) = 4072354176 / 2
LCM(63808,63822) = 2036177088

Least Common Multiple (LCM) of 63808 and 63822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63808 and 63822. First we will calculate the prime factors of 63808 and 63822.

Prime Factorization of 63808

Prime Factorization of 63822

Now multiplying the highest exponent prime factors to calculate the LCM of 63808 and 63822.

LCM(63808,63822) = 2⁶ × 997¹ × 3¹ × 11¹ × 967¹
LCM(63808,63822) = 2036177088