GCF and LCM Calculator Logo

What is the Least Common Multiple of 563 and 575?

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 563 and 575 is 323725.

LCM(563,575) = 323725

LCM Calculator and
and

Least Common Multiple of 563 and 575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 563 and 575, than apply into the LCM equation.

GCF(563,575) = 1
LCM(563,575) = ( 563 × 575) / 1
LCM(563,575) = 323725 / 1
LCM(563,575) = 323725

Least Common Multiple (LCM) of 563 and 575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 563 and 575. First we will calculate the prime factors of 563 and 575.

Prime Factorization of 563

Prime factors of 563 are 563. Prime factorization of 563 in exponential form is:

563 = 5631

Prime Factorization of 575

Prime factors of 575 are 5, 23. Prime factorization of 575 in exponential form is:

575 = 52 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 563 and 575.

LCM(563,575) = 5631 × 52 × 231
LCM(563,575) = 323725