What is the Least Common Multiple of 93576 and 93585?

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 93576 and 93585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93576 and 93585, than apply into the LCM equation.

GCF(93576,93585) = 3
LCM(93576,93585) = ( 93576 × 93585) / 3
LCM(93576,93585) = 8757309960 / 3
LCM(93576,93585) = 2919103320

Least Common Multiple (LCM) of 93576 and 93585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93576 and 93585. First we will calculate the prime factors of 93576 and 93585.

Prime Factorization of 93576

Prime Factorization of 93585

Now multiplying the highest exponent prime factors to calculate the LCM of 93576 and 93585.

LCM(93576,93585) = 2³ × 3¹ × 7¹ × 557¹ × 5¹ × 17¹ × 367¹
LCM(93576,93585) = 2919103320