What is the Least Common Multiple of 63855 and 63873?

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 63855 and 63873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63855 and 63873, than apply into the LCM equation.

GCF(63855,63873) = 9
LCM(63855,63873) = ( 63855 × 63873) / 9
LCM(63855,63873) = 4078610415 / 9
LCM(63855,63873) = 453178935

Least Common Multiple (LCM) of 63855 and 63873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63855 and 63873. First we will calculate the prime factors of 63855 and 63873.

Prime Factorization of 63855

Prime Factorization of 63873

Now multiplying the highest exponent prime factors to calculate the LCM of 63855 and 63873.

LCM(63855,63873) = 3³ × 5¹ × 11¹ × 43¹ × 47¹ × 151¹
LCM(63855,63873) = 453178935