What is the Least Common Multiple of 43250 and 43255?

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 43250 and 43255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43250 and 43255, than apply into the LCM equation.

GCF(43250,43255) = 5
LCM(43250,43255) = ( 43250 × 43255) / 5
LCM(43250,43255) = 1870778750 / 5
LCM(43250,43255) = 374155750

Least Common Multiple (LCM) of 43250 and 43255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43250 and 43255. First we will calculate the prime factors of 43250 and 43255.

Prime Factorization of 43250

Prime Factorization of 43255

Now multiplying the highest exponent prime factors to calculate the LCM of 43250 and 43255.

LCM(43250,43255) = 2¹ × 5³ × 173¹ × 41¹ × 211¹
LCM(43250,43255) = 374155750