What is the Least Common Multiple of 63822 and 63827?

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 63822 and 63827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63822 and 63827, than apply into the LCM equation.

GCF(63822,63827) = 1
LCM(63822,63827) = ( 63822 × 63827) / 1
LCM(63822,63827) = 4073566794 / 1
LCM(63822,63827) = 4073566794

Least Common Multiple (LCM) of 63822 and 63827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63822 and 63827. First we will calculate the prime factors of 63822 and 63827.

Prime Factorization of 63822

Prime Factorization of 63827

Now multiplying the highest exponent prime factors to calculate the LCM of 63822 and 63827.

LCM(63822,63827) = 2¹ × 3¹ × 11¹ × 967¹ × 83¹ × 769¹
LCM(63822,63827) = 4073566794