What is the Least Common Multiple of 99875 and 99887?

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 99875 and 99887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99875 and 99887, than apply into the LCM equation.

GCF(99875,99887) = 1
LCM(99875,99887) = ( 99875 × 99887) / 1
LCM(99875,99887) = 9976214125 / 1
LCM(99875,99887) = 9976214125

Least Common Multiple (LCM) of 99875 and 99887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99875 and 99887. First we will calculate the prime factors of 99875 and 99887.

Prime Factorization of 99875

Prime Factorization of 99887

Now multiplying the highest exponent prime factors to calculate the LCM of 99875 and 99887.

LCM(99875,99887) = 5³ × 17¹ × 47¹ × 59¹ × 1693¹
LCM(99875,99887) = 9976214125