What is the Least Common Multiple of 53544 and 53563?

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 53544 and 53563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53544 and 53563, than apply into the LCM equation.

GCF(53544,53563) = 1
LCM(53544,53563) = ( 53544 × 53563) / 1
LCM(53544,53563) = 2867977272 / 1
LCM(53544,53563) = 2867977272

Least Common Multiple (LCM) of 53544 and 53563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53544 and 53563. First we will calculate the prime factors of 53544 and 53563.

Prime Factorization of 53544

Prime Factorization of 53563

Now multiplying the highest exponent prime factors to calculate the LCM of 53544 and 53563.

LCM(53544,53563) = 2³ × 3¹ × 23¹ × 97¹ × 29¹ × 1847¹
LCM(53544,53563) = 2867977272