What is the Least Common Multiple of 86376 and 86394?

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 86376 and 86394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86376 and 86394, than apply into the LCM equation.

GCF(86376,86394) = 6
LCM(86376,86394) = ( 86376 × 86394) / 6
LCM(86376,86394) = 7462368144 / 6
LCM(86376,86394) = 1243728024

Least Common Multiple (LCM) of 86376 and 86394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86376 and 86394. First we will calculate the prime factors of 86376 and 86394.

Prime Factorization of 86376

Prime Factorization of 86394

Now multiplying the highest exponent prime factors to calculate the LCM of 86376 and 86394.

LCM(86376,86394) = 2³ × 3¹ × 59¹ × 61¹ × 7¹ × 11² × 17¹
LCM(86376,86394) = 1243728024