What is the Least Common Multiple of 95360 and 95371?

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 95360 and 95371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95360 and 95371, than apply into the LCM equation.

GCF(95360,95371) = 1
LCM(95360,95371) = ( 95360 × 95371) / 1
LCM(95360,95371) = 9094578560 / 1
LCM(95360,95371) = 9094578560

Least Common Multiple (LCM) of 95360 and 95371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95360 and 95371. First we will calculate the prime factors of 95360 and 95371.

Prime Factorization of 95360

Prime Factorization of 95371

Now multiplying the highest exponent prime factors to calculate the LCM of 95360 and 95371.

LCM(95360,95371) = 2⁷ × 5¹ × 149¹ × 283¹ × 337¹
LCM(95360,95371) = 9094578560