What is the Least Common Multiple of 93543 and 93555?

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 93543 and 93555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93543 and 93555, than apply into the LCM equation.

GCF(93543,93555) = 3
LCM(93543,93555) = ( 93543 × 93555) / 3
LCM(93543,93555) = 8751415365 / 3
LCM(93543,93555) = 2917138455

Least Common Multiple (LCM) of 93543 and 93555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93543 and 93555. First we will calculate the prime factors of 93543 and 93555.

Prime Factorization of 93543

Prime Factorization of 93555

Now multiplying the highest exponent prime factors to calculate the LCM of 93543 and 93555.

LCM(93543,93555) = 3⁵ × 31181¹ × 5¹ × 7¹ × 11¹
LCM(93543,93555) = 2917138455