What is the Least Common Multiple of 81378 and 81394?

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 81378 and 81394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81378 and 81394, than apply into the LCM equation.

GCF(81378,81394) = 2
LCM(81378,81394) = ( 81378 × 81394) / 2
LCM(81378,81394) = 6623680932 / 2
LCM(81378,81394) = 3311840466

Least Common Multiple (LCM) of 81378 and 81394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81378 and 81394. First we will calculate the prime factors of 81378 and 81394.

Prime Factorization of 81378

Prime Factorization of 81394

Now multiplying the highest exponent prime factors to calculate the LCM of 81378 and 81394.

LCM(81378,81394) = 2¹ × 3³ × 11¹ × 137¹ × 40697¹
LCM(81378,81394) = 3311840466