What is the Least Common Multiple of 9875 and 9895?

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 9895 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 9895, than apply into the LCM equation.

GCF(9875,9895) = 5
LCM(9875,9895) = ( 9875 × 9895) / 5
LCM(9875,9895) = 97713125 / 5
LCM(9875,9895) = 19542625

Least Common Multiple (LCM) of 9875 and 9895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9875 and 9895. First we will calculate the prime factors of 9875 and 9895.

Prime Factorization of 9875

Prime Factorization of 9895

Now multiplying the highest exponent prime factors to calculate the LCM of 9875 and 9895.

LCM(9875,9895) = 5³ × 79¹ × 1979¹
LCM(9875,9895) = 19542625