GCF and LCM Calculator Logo

What is the Least Common Multiple of 1411 and 1415?

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 1411 and 1415 is 1996565.

LCM(1411,1415) = 1996565

LCM Calculator and
and

Least Common Multiple of 1411 and 1415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1411 and 1415, than apply into the LCM equation.

GCF(1411,1415) = 1
LCM(1411,1415) = ( 1411 × 1415) / 1
LCM(1411,1415) = 1996565 / 1
LCM(1411,1415) = 1996565

Least Common Multiple (LCM) of 1411 and 1415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1411 and 1415. First we will calculate the prime factors of 1411 and 1415.

Prime Factorization of 1411

Prime factors of 1411 are 17, 83. Prime factorization of 1411 in exponential form is:

1411 = 171 × 831

Prime Factorization of 1415

Prime factors of 1415 are 5, 283. Prime factorization of 1415 in exponential form is:

1415 = 51 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 1411 and 1415.

LCM(1411,1415) = 171 × 831 × 51 × 2831
LCM(1411,1415) = 1996565