What is the Least Common Multiple of 63855 and 63870?

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 63870 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 63870, than apply into the LCM equation.

GCF(63855,63870) = 15
LCM(63855,63870) = ( 63855 × 63870) / 15
LCM(63855,63870) = 4078418850 / 15
LCM(63855,63870) = 271894590

Least Common Multiple (LCM) of 63855 and 63870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63855 and 63870. First we will calculate the prime factors of 63855 and 63870.

Prime Factorization of 63855

Prime Factorization of 63870

Now multiplying the highest exponent prime factors to calculate the LCM of 63855 and 63870.

LCM(63855,63870) = 3³ × 5¹ × 11¹ × 43¹ × 2¹ × 2129¹
LCM(63855,63870) = 271894590