What is the Least Common Multiple of 82250 and 82265?

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 82265 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 82265, than apply into the LCM equation.

GCF(82250,82265) = 5
LCM(82250,82265) = ( 82250 × 82265) / 5
LCM(82250,82265) = 6766296250 / 5
LCM(82250,82265) = 1353259250

Least Common Multiple (LCM) of 82250 and 82265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82250 and 82265. First we will calculate the prime factors of 82250 and 82265.

Prime Factorization of 82250

Prime Factorization of 82265

Now multiplying the highest exponent prime factors to calculate the LCM of 82250 and 82265.

LCM(82250,82265) = 2¹ × 5³ × 7¹ × 47¹ × 16453¹
LCM(82250,82265) = 1353259250