GCF and LCM Calculator Logo

What is the Least Common Multiple of 1423 and 1428?

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 1423 and 1428 is 2032044.

LCM(1423,1428) = 2032044

LCM Calculator and
and

Least Common Multiple of 1423 and 1428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1423 and 1428, than apply into the LCM equation.

GCF(1423,1428) = 1
LCM(1423,1428) = ( 1423 × 1428) / 1
LCM(1423,1428) = 2032044 / 1
LCM(1423,1428) = 2032044

Least Common Multiple (LCM) of 1423 and 1428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1423 and 1428. First we will calculate the prime factors of 1423 and 1428.

Prime Factorization of 1423

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

Prime Factorization of 1428

Prime factors of 1428 are 2, 3, 7, 17. Prime factorization of 1428 in exponential form is:

1428 = 22 × 31 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1423 and 1428.

LCM(1423,1428) = 14231 × 22 × 31 × 71 × 171
LCM(1423,1428) = 2032044