What is the Least Common Multiple of 82882 and 82890?

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 82882 and 82890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82882 and 82890, than apply into the LCM equation.

GCF(82882,82890) = 2
LCM(82882,82890) = ( 82882 × 82890) / 2
LCM(82882,82890) = 6870088980 / 2
LCM(82882,82890) = 3435044490

Least Common Multiple (LCM) of 82882 and 82890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82882 and 82890. First we will calculate the prime factors of 82882 and 82890.

Prime Factorization of 82882

Prime Factorization of 82890

Now multiplying the highest exponent prime factors to calculate the LCM of 82882 and 82890.

LCM(82882,82890) = 2¹ × 29¹ × 1429¹ × 3³ × 5¹ × 307¹
LCM(82882,82890) = 3435044490