What is the Least Common Multiple of 71544 and 71563?

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 of 71544 and 71563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71544 and 71563, than apply into the LCM equation.

GCF(71544,71563) = 1
LCM(71544,71563) = ( 71544 × 71563) / 1
LCM(71544,71563) = 5119903272 / 1
LCM(71544,71563) = 5119903272

Least Common Multiple (LCM) of 71544 and 71563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71544 and 71563. First we will calculate the prime factors of 71544 and 71563.

Prime Factorization of 71544

Prime Factorization of 71563

Now multiplying the highest exponent prime factors to calculate the LCM of 71544 and 71563.

LCM(71544,71563) = 2³ × 3¹ × 11¹ × 271¹ × 71563¹
LCM(71544,71563) = 5119903272