GCF and LCM Calculator Logo

What is the Least Common Multiple of 12408 and 12419?

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 12408 and 12419 is 14008632.

LCM(12408,12419) = 14008632

LCM Calculator and
and

Least Common Multiple of 12408 and 12419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12408 and 12419, than apply into the LCM equation.

GCF(12408,12419) = 11
LCM(12408,12419) = ( 12408 × 12419) / 11
LCM(12408,12419) = 154094952 / 11
LCM(12408,12419) = 14008632

Least Common Multiple (LCM) of 12408 and 12419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12408 and 12419. First we will calculate the prime factors of 12408 and 12419.

Prime Factorization of 12408

Prime factors of 12408 are 2, 3, 11, 47. Prime factorization of 12408 in exponential form is:

12408 = 23 × 31 × 111 × 471

Prime Factorization of 12419

Prime factors of 12419 are 11, 1129. Prime factorization of 12419 in exponential form is:

12419 = 111 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 12408 and 12419.

LCM(12408,12419) = 23 × 31 × 111 × 471 × 11291
LCM(12408,12419) = 14008632