What is the Least Common Multiple of 95899 and 95903?

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 95899 and 95903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95899 and 95903, than apply into the LCM equation.

GCF(95899,95903) = 1
LCM(95899,95903) = ( 95899 × 95903) / 1
LCM(95899,95903) = 9197001797 / 1
LCM(95899,95903) = 9197001797

Least Common Multiple (LCM) of 95899 and 95903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95899 and 95903. First we will calculate the prime factors of 95899 and 95903.

Prime Factorization of 95899

Prime Factorization of 95903

Now multiplying the highest exponent prime factors to calculate the LCM of 95899 and 95903.

LCM(95899,95903) = 41¹ × 2339¹ × 29¹ × 3307¹
LCM(95899,95903) = 9197001797