What is the Least Common Multiple of 79250 and 79255?

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 79250 and 79255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79250 and 79255, than apply into the LCM equation.

GCF(79250,79255) = 5
LCM(79250,79255) = ( 79250 × 79255) / 5
LCM(79250,79255) = 6280958750 / 5
LCM(79250,79255) = 1256191750

Least Common Multiple (LCM) of 79250 and 79255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79250 and 79255. First we will calculate the prime factors of 79250 and 79255.

Prime Factorization of 79250

Prime Factorization of 79255

Now multiplying the highest exponent prime factors to calculate the LCM of 79250 and 79255.

LCM(79250,79255) = 2¹ × 5³ × 317¹ × 11² × 131¹
LCM(79250,79255) = 1256191750