What is the Least Common Multiple of 93543 and 93549?

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 93549 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 93549, than apply into the LCM equation.

GCF(93543,93549) = 3
LCM(93543,93549) = ( 93543 × 93549) / 3
LCM(93543,93549) = 8750854107 / 3
LCM(93543,93549) = 2916951369

Least Common Multiple (LCM) of 93543 and 93549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93543 and 93549. First we will calculate the prime factors of 93543 and 93549.

Prime Factorization of 93543

Prime Factorization of 93549

Now multiplying the highest exponent prime factors to calculate the LCM of 93543 and 93549.

LCM(93543,93549) = 3¹ × 31181¹ × 31183¹
LCM(93543,93549) = 2916951369