What is the Least Common Multiple of 82280 and 82296?

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 82280 and 82296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82280 and 82296, than apply into the LCM equation.

GCF(82280,82296) = 8
LCM(82280,82296) = ( 82280 × 82296) / 8
LCM(82280,82296) = 6771314880 / 8
LCM(82280,82296) = 846414360

Least Common Multiple (LCM) of 82280 and 82296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82280 and 82296. First we will calculate the prime factors of 82280 and 82296.

Prime Factorization of 82280

Prime Factorization of 82296

Now multiplying the highest exponent prime factors to calculate the LCM of 82280 and 82296.

LCM(82280,82296) = 2³ × 5¹ × 11² × 17¹ × 3⁴ × 127¹
LCM(82280,82296) = 846414360