What is the Least Common Multiple of 93549 and 93558?

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 93549 and 93558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93549 and 93558, than apply into the LCM equation.

GCF(93549,93558) = 3
LCM(93549,93558) = ( 93549 × 93558) / 3
LCM(93549,93558) = 8752257342 / 3
LCM(93549,93558) = 2917419114

Least Common Multiple (LCM) of 93549 and 93558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93549 and 93558. First we will calculate the prime factors of 93549 and 93558.

Prime Factorization of 93549

Prime Factorization of 93558

Now multiplying the highest exponent prime factors to calculate the LCM of 93549 and 93558.

LCM(93549,93558) = 3¹ × 31183¹ × 2¹ × 31¹ × 503¹
LCM(93549,93558) = 2917419114