What is the Least Common Multiple of 93456 and 93474?

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 93456 and 93474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93456 and 93474, than apply into the LCM equation.

GCF(93456,93474) = 18
LCM(93456,93474) = ( 93456 × 93474) / 18
LCM(93456,93474) = 8735706144 / 18
LCM(93456,93474) = 485317008

Least Common Multiple (LCM) of 93456 and 93474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93456 and 93474. First we will calculate the prime factors of 93456 and 93474.

Prime Factorization of 93456

Prime Factorization of 93474

Now multiplying the highest exponent prime factors to calculate the LCM of 93456 and 93474.

LCM(93456,93474) = 2⁴ × 3⁴ × 11¹ × 59¹ × 577¹
LCM(93456,93474) = 485317008