What is the Least Common Multiple of 82894 and 82910?

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 82894 and 82910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82894 and 82910, than apply into the LCM equation.

GCF(82894,82910) = 2
LCM(82894,82910) = ( 82894 × 82910) / 2
LCM(82894,82910) = 6872741540 / 2
LCM(82894,82910) = 3436370770

Least Common Multiple (LCM) of 82894 and 82910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82894 and 82910. First we will calculate the prime factors of 82894 and 82910.

Prime Factorization of 82894

Prime Factorization of 82910

Now multiplying the highest exponent prime factors to calculate the LCM of 82894 and 82910.

LCM(82894,82910) = 2¹ × 7¹ × 31¹ × 191¹ × 5¹ × 8291¹
LCM(82894,82910) = 3436370770