What is the Least Common Multiple of 93500 and 93505?

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 93500 and 93505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93500 and 93505, than apply into the LCM equation.

GCF(93500,93505) = 5
LCM(93500,93505) = ( 93500 × 93505) / 5
LCM(93500,93505) = 8742717500 / 5
LCM(93500,93505) = 1748543500

Least Common Multiple (LCM) of 93500 and 93505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93500 and 93505. First we will calculate the prime factors of 93500 and 93505.

Prime Factorization of 93500

Prime Factorization of 93505

Now multiplying the highest exponent prime factors to calculate the LCM of 93500 and 93505.

LCM(93500,93505) = 2² × 5³ × 11¹ × 17¹ × 18701¹
LCM(93500,93505) = 1748543500