GCF and LCM Calculator Logo

What is the Least Common Multiple of 1467 and 1486?

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 1467 and 1486 is 2179962.

LCM(1467,1486) = 2179962

LCM Calculator and
and

Least Common Multiple of 1467 and 1486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1467 and 1486, than apply into the LCM equation.

GCF(1467,1486) = 1
LCM(1467,1486) = ( 1467 × 1486) / 1
LCM(1467,1486) = 2179962 / 1
LCM(1467,1486) = 2179962

Least Common Multiple (LCM) of 1467 and 1486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1467 and 1486. First we will calculate the prime factors of 1467 and 1486.

Prime Factorization of 1467

Prime factors of 1467 are 3, 163. Prime factorization of 1467 in exponential form is:

1467 = 32 × 1631

Prime Factorization of 1486

Prime factors of 1486 are 2, 743. Prime factorization of 1486 in exponential form is:

1486 = 21 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 1467 and 1486.

LCM(1467,1486) = 32 × 1631 × 21 × 7431
LCM(1467,1486) = 2179962