GCF and LCM Calculator Logo

What is the Least Common Multiple of 69123 and 69141?

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 69123 and 69141 is 1593077781.

LCM(69123,69141) = 1593077781

LCM Calculator and
and

Least Common Multiple of 69123 and 69141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69123 and 69141, than apply into the LCM equation.

GCF(69123,69141) = 3
LCM(69123,69141) = ( 69123 × 69141) / 3
LCM(69123,69141) = 4779233343 / 3
LCM(69123,69141) = 1593077781

Least Common Multiple (LCM) of 69123 and 69141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69123 and 69141. First we will calculate the prime factors of 69123 and 69141.

Prime Factorization of 69123

Prime factors of 69123 are 3, 23041. Prime factorization of 69123 in exponential form is:

69123 = 31 × 230411

Prime Factorization of 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 31 × 191 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 69123 and 69141.

LCM(69123,69141) = 31 × 230411 × 191 × 12131
LCM(69123,69141) = 1593077781