What is the Least Common Multiple of 93432 and 93449?

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 93432 and 93449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93432 and 93449, than apply into the LCM equation.

GCF(93432,93449) = 17
LCM(93432,93449) = ( 93432 × 93449) / 17
LCM(93432,93449) = 8731126968 / 17
LCM(93432,93449) = 513595704

Least Common Multiple (LCM) of 93432 and 93449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93432 and 93449. First we will calculate the prime factors of 93432 and 93449.

Prime Factorization of 93432

Prime Factorization of 93449

Now multiplying the highest exponent prime factors to calculate the LCM of 93432 and 93449.

LCM(93432,93449) = 2³ × 3¹ × 17¹ × 229¹ × 23¹ × 239¹
LCM(93432,93449) = 513595704