GCF and LCM Calculator Logo

What is the Least Common Multiple of 95320 and 95328?

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 95320 and 95328 is 1135833120.

LCM(95320,95328) = 1135833120

LCM Calculator and
and

Least Common Multiple of 95320 and 95328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95320 and 95328, than apply into the LCM equation.

GCF(95320,95328) = 8
LCM(95320,95328) = ( 95320 × 95328) / 8
LCM(95320,95328) = 9086664960 / 8
LCM(95320,95328) = 1135833120

Least Common Multiple (LCM) of 95320 and 95328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95320 and 95328. First we will calculate the prime factors of 95320 and 95328.

Prime Factorization of 95320

Prime factors of 95320 are 2, 5, 2383. Prime factorization of 95320 in exponential form is:

95320 = 23 × 51 × 23831

Prime Factorization of 95328

Prime factors of 95328 are 2, 3, 331. Prime factorization of 95328 in exponential form is:

95328 = 25 × 32 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 95320 and 95328.

LCM(95320,95328) = 25 × 51 × 23831 × 32 × 3311
LCM(95320,95328) = 1135833120