What is the Least Common Multiple of 93474 and 93489?

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 93474 and 93489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93474 and 93489, than apply into the LCM equation.

GCF(93474,93489) = 3
LCM(93474,93489) = ( 93474 × 93489) / 3
LCM(93474,93489) = 8738790786 / 3
LCM(93474,93489) = 2912930262

Least Common Multiple (LCM) of 93474 and 93489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93474 and 93489. First we will calculate the prime factors of 93474 and 93489.

Prime Factorization of 93474

Prime Factorization of 93489

Now multiplying the highest exponent prime factors to calculate the LCM of 93474 and 93489.

LCM(93474,93489) = 2¹ × 3⁴ × 577¹ × 11¹ × 2833¹
LCM(93474,93489) = 2912930262