What is the Least Common Multiple of 82241 and 82250?

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 82241 and 82250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82241 and 82250, than apply into the LCM equation.

GCF(82241,82250) = 1
LCM(82241,82250) = ( 82241 × 82250) / 1
LCM(82241,82250) = 6764322250 / 1
LCM(82241,82250) = 6764322250

Least Common Multiple (LCM) of 82241 and 82250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82241 and 82250. First we will calculate the prime factors of 82241 and 82250.

Prime Factorization of 82241

Prime Factorization of 82250

Now multiplying the highest exponent prime factors to calculate the LCM of 82241 and 82250.

LCM(82241,82250) = 82241¹ × 2¹ × 5³ × 7¹ × 47¹
LCM(82241,82250) = 6764322250