GCF and LCM Calculator Logo

What is the Least Common Multiple of 3476 and 3487?

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 3476 and 3487 is 1101892.

LCM(3476,3487) = 1101892

LCM Calculator and
and

Least Common Multiple of 3476 and 3487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3476 and 3487, than apply into the LCM equation.

GCF(3476,3487) = 11
LCM(3476,3487) = ( 3476 × 3487) / 11
LCM(3476,3487) = 12120812 / 11
LCM(3476,3487) = 1101892

Least Common Multiple (LCM) of 3476 and 3487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3476 and 3487. First we will calculate the prime factors of 3476 and 3487.

Prime Factorization of 3476

Prime factors of 3476 are 2, 11, 79. Prime factorization of 3476 in exponential form is:

3476 = 22 × 111 × 791

Prime Factorization of 3487

Prime factors of 3487 are 11, 317. Prime factorization of 3487 in exponential form is:

3487 = 111 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3476 and 3487.

LCM(3476,3487) = 22 × 111 × 791 × 3171
LCM(3476,3487) = 1101892