What is the Least Common Multiple of 95339 and 95345?

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 95339 and 95345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95339 and 95345, than apply into the LCM equation.

GCF(95339,95345) = 1
LCM(95339,95345) = ( 95339 × 95345) / 1
LCM(95339,95345) = 9090096955 / 1
LCM(95339,95345) = 9090096955

Least Common Multiple (LCM) of 95339 and 95345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95339 and 95345. First we will calculate the prime factors of 95339 and 95345.

Prime Factorization of 95339

Prime Factorization of 95345

Now multiplying the highest exponent prime factors to calculate the LCM of 95339 and 95345.

LCM(95339,95345) = 95339¹ × 5¹ × 19069¹
LCM(95339,95345) = 9090096955