What is the Least Common Multiple of 82075 and 82090?

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 82075 and 82090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82075 and 82090, than apply into the LCM equation.

GCF(82075,82090) = 5
LCM(82075,82090) = ( 82075 × 82090) / 5
LCM(82075,82090) = 6737536750 / 5
LCM(82075,82090) = 1347507350

Least Common Multiple (LCM) of 82075 and 82090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82075 and 82090. First we will calculate the prime factors of 82075 and 82090.

Prime Factorization of 82075

Prime Factorization of 82090

Now multiplying the highest exponent prime factors to calculate the LCM of 82075 and 82090.

LCM(82075,82090) = 5² × 7² × 67¹ × 2¹ × 8209¹
LCM(82075,82090) = 1347507350