What is the Least Common Multiple of 82250 and 82255?

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 82250 and 82255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82250 and 82255, than apply into the LCM equation.

GCF(82250,82255) = 5
LCM(82250,82255) = ( 82250 × 82255) / 5
LCM(82250,82255) = 6765473750 / 5
LCM(82250,82255) = 1353094750

Least Common Multiple (LCM) of 82250 and 82255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82250 and 82255. First we will calculate the prime factors of 82250 and 82255.

Prime Factorization of 82250

Prime Factorization of 82255

Now multiplying the highest exponent prime factors to calculate the LCM of 82250 and 82255.

LCM(82250,82255) = 2¹ × 5³ × 7¹ × 47¹ × 16451¹
LCM(82250,82255) = 1353094750