What is the Least Common Multiple of 99874 and 99878?

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 99874 and 99878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99874 and 99878, than apply into the LCM equation.

GCF(99874,99878) = 2
LCM(99874,99878) = ( 99874 × 99878) / 2
LCM(99874,99878) = 9975215372 / 2
LCM(99874,99878) = 4987607686

Least Common Multiple (LCM) of 99874 and 99878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99874 and 99878. First we will calculate the prime factors of 99874 and 99878.

Prime Factorization of 99874

Prime Factorization of 99878

Now multiplying the highest exponent prime factors to calculate the LCM of 99874 and 99878.

LCM(99874,99878) = 2¹ × 49937¹ × 49939¹
LCM(99874,99878) = 4987607686