GCF and LCM Calculator Logo

What is the Least Common Multiple of 11478 and 11487?

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 11478 and 11487 is 43949262.

LCM(11478,11487) = 43949262

LCM Calculator and
and

Least Common Multiple of 11478 and 11487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11478 and 11487, than apply into the LCM equation.

GCF(11478,11487) = 3
LCM(11478,11487) = ( 11478 × 11487) / 3
LCM(11478,11487) = 131847786 / 3
LCM(11478,11487) = 43949262

Least Common Multiple (LCM) of 11478 and 11487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11478 and 11487. First we will calculate the prime factors of 11478 and 11487.

Prime Factorization of 11478

Prime factors of 11478 are 2, 3, 1913. Prime factorization of 11478 in exponential form is:

11478 = 21 × 31 × 19131

Prime Factorization of 11487

Prime factors of 11487 are 3, 7, 547. Prime factorization of 11487 in exponential form is:

11487 = 31 × 71 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 11478 and 11487.

LCM(11478,11487) = 21 × 31 × 19131 × 71 × 5471
LCM(11478,11487) = 43949262