What is the Least Common Multiple of 86374 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 86374 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 86374 and 86394, than apply into the LCM equation.

GCF(86374,86394) = 2
LCM(86374,86394) = ( 86374 × 86394) / 2
LCM(86374,86394) = 7462195356 / 2
LCM(86374,86394) = 3731097678

Least Common Multiple (LCM) of 86374 and 86394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86374 and 86394. First we will calculate the prime factors of 86374 and 86394.

Prime Factorization of 86374

Prime Factorization of 86394

Now multiplying the highest exponent prime factors to calculate the LCM of 86374 and 86394.

LCM(86374,86394) = 2¹ × 19¹ × 2273¹ × 3¹ × 7¹ × 11² × 17¹
LCM(86374,86394) = 3731097678