What is the Least Common Multiple of 9855 and 9864?

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 9855 and 9864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9855 and 9864, than apply into the LCM equation.

GCF(9855,9864) = 9
LCM(9855,9864) = ( 9855 × 9864) / 9
LCM(9855,9864) = 97209720 / 9
LCM(9855,9864) = 10801080

Least Common Multiple (LCM) of 9855 and 9864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9855 and 9864. First we will calculate the prime factors of 9855 and 9864.

Prime Factorization of 9855

Prime Factorization of 9864

Now multiplying the highest exponent prime factors to calculate the LCM of 9855 and 9864.

LCM(9855,9864) = 3³ × 5¹ × 73¹ × 2³ × 137¹
LCM(9855,9864) = 10801080