What is the Least Common Multiple of 95333 and 95353?

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 95333 and 95353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95333 and 95353, than apply into the LCM equation.

GCF(95333,95353) = 1
LCM(95333,95353) = ( 95333 × 95353) / 1
LCM(95333,95353) = 9090287549 / 1
LCM(95333,95353) = 9090287549

Least Common Multiple (LCM) of 95333 and 95353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95333 and 95353. First we will calculate the prime factors of 95333 and 95353.

Prime Factorization of 95333

Prime Factorization of 95353

Now multiplying the highest exponent prime factors to calculate the LCM of 95333 and 95353.

LCM(95333,95353) = 7¹ × 13619¹ × 17¹ × 71¹ × 79¹
LCM(95333,95353) = 9090287549