GCF and LCM Calculator Logo

What is the Least Common Multiple of 69310 and 69323?

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 69310 and 69323 is 4804777130.

LCM(69310,69323) = 4804777130

LCM Calculator and
and

Least Common Multiple of 69310 and 69323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69310 and 69323, than apply into the LCM equation.

GCF(69310,69323) = 1
LCM(69310,69323) = ( 69310 × 69323) / 1
LCM(69310,69323) = 4804777130 / 1
LCM(69310,69323) = 4804777130

Least Common Multiple (LCM) of 69310 and 69323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69310 and 69323. First we will calculate the prime factors of 69310 and 69323.

Prime Factorization of 69310

Prime factors of 69310 are 2, 5, 29, 239. Prime factorization of 69310 in exponential form is:

69310 = 21 × 51 × 291 × 2391

Prime Factorization of 69323

Prime factors of 69323 are 181, 383. Prime factorization of 69323 in exponential form is:

69323 = 1811 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 69310 and 69323.

LCM(69310,69323) = 21 × 51 × 291 × 2391 × 1811 × 3831
LCM(69310,69323) = 4804777130