GCF and LCM Calculator Logo

What is the Least Common Multiple of 3536 and 3543?

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 3536 and 3543 is 12528048.

LCM(3536,3543) = 12528048

LCM Calculator and
and

Least Common Multiple of 3536 and 3543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3536 and 3543, than apply into the LCM equation.

GCF(3536,3543) = 1
LCM(3536,3543) = ( 3536 × 3543) / 1
LCM(3536,3543) = 12528048 / 1
LCM(3536,3543) = 12528048

Least Common Multiple (LCM) of 3536 and 3543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3536 and 3543. First we will calculate the prime factors of 3536 and 3543.

Prime Factorization of 3536

Prime factors of 3536 are 2, 13, 17. Prime factorization of 3536 in exponential form is:

3536 = 24 × 131 × 171

Prime Factorization of 3543

Prime factors of 3543 are 3, 1181. Prime factorization of 3543 in exponential form is:

3543 = 31 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 3536 and 3543.

LCM(3536,3543) = 24 × 131 × 171 × 31 × 11811
LCM(3536,3543) = 12528048