What is the Least Common Multiple of 93552 and 93563?

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 93552 and 93563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93552 and 93563, than apply into the LCM equation.

GCF(93552,93563) = 1
LCM(93552,93563) = ( 93552 × 93563) / 1
LCM(93552,93563) = 8753005776 / 1
LCM(93552,93563) = 8753005776

Least Common Multiple (LCM) of 93552 and 93563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93552 and 93563. First we will calculate the prime factors of 93552 and 93563.

Prime Factorization of 93552

Prime Factorization of 93563

Now multiplying the highest exponent prime factors to calculate the LCM of 93552 and 93563.

LCM(93552,93563) = 2⁴ × 3¹ × 1949¹ × 93563¹
LCM(93552,93563) = 8753005776