GCF and LCM Calculator Logo

What is the Least Common Multiple of 27550 and 27563?

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 27550 and 27563 is 759360650.

LCM(27550,27563) = 759360650

LCM Calculator and
and

Least Common Multiple of 27550 and 27563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27550 and 27563, than apply into the LCM equation.

GCF(27550,27563) = 1
LCM(27550,27563) = ( 27550 × 27563) / 1
LCM(27550,27563) = 759360650 / 1
LCM(27550,27563) = 759360650

Least Common Multiple (LCM) of 27550 and 27563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27550 and 27563. First we will calculate the prime factors of 27550 and 27563.

Prime Factorization of 27550

Prime factors of 27550 are 2, 5, 19, 29. Prime factorization of 27550 in exponential form is:

27550 = 21 × 52 × 191 × 291

Prime Factorization of 27563

Prime factors of 27563 are 43, 641. Prime factorization of 27563 in exponential form is:

27563 = 431 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 27550 and 27563.

LCM(27550,27563) = 21 × 52 × 191 × 291 × 431 × 6411
LCM(27550,27563) = 759360650