GCF and LCM Calculator Logo

What is the Least Common Multiple of 69329 and 69338?

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 69329 and 69338 is 4807134202.

LCM(69329,69338) = 4807134202

LCM Calculator and
and

Least Common Multiple of 69329 and 69338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69329 and 69338, than apply into the LCM equation.

GCF(69329,69338) = 1
LCM(69329,69338) = ( 69329 × 69338) / 1
LCM(69329,69338) = 4807134202 / 1
LCM(69329,69338) = 4807134202

Least Common Multiple (LCM) of 69329 and 69338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69329 and 69338. First we will calculate the prime factors of 69329 and 69338.

Prime Factorization of 69329

Prime factors of 69329 are 13, 5333. Prime factorization of 69329 in exponential form is:

69329 = 131 × 53331

Prime Factorization of 69338

Prime factors of 69338 are 2, 37, 937. Prime factorization of 69338 in exponential form is:

69338 = 21 × 371 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 69329 and 69338.

LCM(69329,69338) = 131 × 53331 × 21 × 371 × 9371
LCM(69329,69338) = 4807134202