What is the Least Common Multiple of 88544 and 88563?

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 88544 and 88563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88544 and 88563, than apply into the LCM equation.

GCF(88544,88563) = 1
LCM(88544,88563) = ( 88544 × 88563) / 1
LCM(88544,88563) = 7841722272 / 1
LCM(88544,88563) = 7841722272

Least Common Multiple (LCM) of 88544 and 88563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88544 and 88563. First we will calculate the prime factors of 88544 and 88563.

Prime Factorization of 88544

Prime Factorization of 88563

Now multiplying the highest exponent prime factors to calculate the LCM of 88544 and 88563.

LCM(88544,88563) = 2⁵ × 2767¹ × 3¹ × 53¹ × 557¹
LCM(88544,88563) = 7841722272