GCF and LCM Calculator Logo

What is the Least Common Multiple of 12079 and 12094?

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 12079 and 12094 is 146083426.

LCM(12079,12094) = 146083426

LCM Calculator and
and

Least Common Multiple of 12079 and 12094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12079 and 12094, than apply into the LCM equation.

GCF(12079,12094) = 1
LCM(12079,12094) = ( 12079 × 12094) / 1
LCM(12079,12094) = 146083426 / 1
LCM(12079,12094) = 146083426

Least Common Multiple (LCM) of 12079 and 12094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12079 and 12094. First we will calculate the prime factors of 12079 and 12094.

Prime Factorization of 12079

Prime factors of 12079 are 47, 257. Prime factorization of 12079 in exponential form is:

12079 = 471 × 2571

Prime Factorization of 12094

Prime factors of 12094 are 2, 6047. Prime factorization of 12094 in exponential form is:

12094 = 21 × 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 12079 and 12094.

LCM(12079,12094) = 471 × 2571 × 21 × 60471
LCM(12079,12094) = 146083426