What is the Least Common Multiple of 63840 and 63855?

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 63840 and 63855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63840 and 63855, than apply into the LCM equation.

GCF(63840,63855) = 15
LCM(63840,63855) = ( 63840 × 63855) / 15
LCM(63840,63855) = 4076503200 / 15
LCM(63840,63855) = 271766880

Least Common Multiple (LCM) of 63840 and 63855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63840 and 63855. First we will calculate the prime factors of 63840 and 63855.

Prime Factorization of 63840

Prime Factorization of 63855

Now multiplying the highest exponent prime factors to calculate the LCM of 63840 and 63855.

LCM(63840,63855) = 2⁵ × 3³ × 5¹ × 7¹ × 19¹ × 11¹ × 43¹
LCM(63840,63855) = 271766880