GCF and LCM Calculator Logo

What is the Least Common Multiple of 95332 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 (LCM) of 95332 and 95345 is 9089429540.

LCM(95332,95345) = 9089429540

LCM Calculator and
and

Least Common Multiple of 95332 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 95332 and 95345, than apply into the LCM equation.

GCF(95332,95345) = 1
LCM(95332,95345) = ( 95332 × 95345) / 1
LCM(95332,95345) = 9089429540 / 1
LCM(95332,95345) = 9089429540

Least Common Multiple (LCM) of 95332 and 95345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95332 and 95345. First we will calculate the prime factors of 95332 and 95345.

Prime Factorization of 95332

Prime factors of 95332 are 2, 23833. Prime factorization of 95332 in exponential form is:

95332 = 22 × 238331

Prime Factorization of 95345

Prime factors of 95345 are 5, 19069. Prime factorization of 95345 in exponential form is:

95345 = 51 × 190691

Now multiplying the highest exponent prime factors to calculate the LCM of 95332 and 95345.

LCM(95332,95345) = 22 × 238331 × 51 × 190691
LCM(95332,95345) = 9089429540