What is the Least Common Multiple of 99875 and 99883?

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 99883 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 99883, than apply into the LCM equation.

GCF(99875,99883) = 1
LCM(99875,99883) = ( 99875 × 99883) / 1
LCM(99875,99883) = 9975814625 / 1
LCM(99875,99883) = 9975814625

Least Common Multiple (LCM) of 99875 and 99883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99875 and 99883. First we will calculate the prime factors of 99875 and 99883.

Prime Factorization of 99875

Prime Factorization of 99883

Now multiplying the highest exponent prime factors to calculate the LCM of 99875 and 99883.

LCM(99875,99883) = 5³ × 17¹ × 47¹ × 7¹ × 19¹ × 751¹
LCM(99875,99883) = 9975814625