What is the Least Common Multiple of 82215 and 82229?

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 82215 and 82229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82215 and 82229, than apply into the LCM equation.

GCF(82215,82229) = 7
LCM(82215,82229) = ( 82215 × 82229) / 7
LCM(82215,82229) = 6760457235 / 7
LCM(82215,82229) = 965779605

Least Common Multiple (LCM) of 82215 and 82229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82215 and 82229. First we will calculate the prime factors of 82215 and 82229.

Prime Factorization of 82215

Prime Factorization of 82229

Now multiplying the highest exponent prime factors to calculate the LCM of 82215 and 82229.

LCM(82215,82229) = 3⁴ × 5¹ × 7¹ × 29¹ × 17¹ × 691¹
LCM(82215,82229) = 965779605