GCF and LCM Calculator Logo

What is the Least Common Multiple of 3556 and 3563?

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 3556 and 3563 is 1810004.

LCM(3556,3563) = 1810004

LCM Calculator and
and

Least Common Multiple of 3556 and 3563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3556 and 3563, than apply into the LCM equation.

GCF(3556,3563) = 7
LCM(3556,3563) = ( 3556 × 3563) / 7
LCM(3556,3563) = 12670028 / 7
LCM(3556,3563) = 1810004

Least Common Multiple (LCM) of 3556 and 3563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3563. First we will calculate the prime factors of 3556 and 3563.

Prime Factorization of 3556

Prime factors of 3556 are 2, 7, 127. Prime factorization of 3556 in exponential form is:

3556 = 22 × 71 × 1271

Prime Factorization of 3563

Prime factors of 3563 are 7, 509. Prime factorization of 3563 in exponential form is:

3563 = 71 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3563.

LCM(3556,3563) = 22 × 71 × 1271 × 5091
LCM(3556,3563) = 1810004