What is the Least Common Multiple of 88554 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 88554 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 88554 and 88563, than apply into the LCM equation.

GCF(88554,88563) = 3
LCM(88554,88563) = ( 88554 × 88563) / 3
LCM(88554,88563) = 7842607902 / 3
LCM(88554,88563) = 2614202634

Least Common Multiple (LCM) of 88554 and 88563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88554 and 88563. First we will calculate the prime factors of 88554 and 88563.

Prime Factorization of 88554

Prime Factorization of 88563

Now multiplying the highest exponent prime factors to calculate the LCM of 88554 and 88563.

LCM(88554,88563) = 2¹ × 3¹ × 14759¹ × 53¹ × 557¹
LCM(88554,88563) = 2614202634