What is the Least Common Multiple of 95888 and 95899?

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 95888 and 95899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95888 and 95899, than apply into the LCM equation.

GCF(95888,95899) = 1
LCM(95888,95899) = ( 95888 × 95899) / 1
LCM(95888,95899) = 9195563312 / 1
LCM(95888,95899) = 9195563312

Least Common Multiple (LCM) of 95888 and 95899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95888 and 95899. First we will calculate the prime factors of 95888 and 95899.

Prime Factorization of 95888

Prime Factorization of 95899

Now multiplying the highest exponent prime factors to calculate the LCM of 95888 and 95899.

LCM(95888,95899) = 2⁴ × 13¹ × 461¹ × 41¹ × 2339¹
LCM(95888,95899) = 9195563312