What is the Least Common Multiple of 9875 and 9887?

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 9875 and 9887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9875 and 9887, than apply into the LCM equation.

GCF(9875,9887) = 1
LCM(9875,9887) = ( 9875 × 9887) / 1
LCM(9875,9887) = 97634125 / 1
LCM(9875,9887) = 97634125

Least Common Multiple (LCM) of 9875 and 9887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9875 and 9887. First we will calculate the prime factors of 9875 and 9887.

Prime Factorization of 9875

Prime Factorization of 9887

Now multiplying the highest exponent prime factors to calculate the LCM of 9875 and 9887.

LCM(9875,9887) = 5³ × 79¹ × 9887¹
LCM(9875,9887) = 97634125