GCF and LCM Calculator Logo

What is the Least Common Multiple of 13563 and 13580?

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 13563 and 13580 is 184185540.

LCM(13563,13580) = 184185540

LCM Calculator and
and

Least Common Multiple of 13563 and 13580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13563 and 13580, than apply into the LCM equation.

GCF(13563,13580) = 1
LCM(13563,13580) = ( 13563 × 13580) / 1
LCM(13563,13580) = 184185540 / 1
LCM(13563,13580) = 184185540

Least Common Multiple (LCM) of 13563 and 13580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13563 and 13580. First we will calculate the prime factors of 13563 and 13580.

Prime Factorization of 13563

Prime factors of 13563 are 3, 11, 137. Prime factorization of 13563 in exponential form is:

13563 = 32 × 111 × 1371

Prime Factorization of 13580

Prime factors of 13580 are 2, 5, 7, 97. Prime factorization of 13580 in exponential form is:

13580 = 22 × 51 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 13563 and 13580.

LCM(13563,13580) = 32 × 111 × 1371 × 22 × 51 × 71 × 971
LCM(13563,13580) = 184185540