What is the Least Common Multiple of 86319 and 86338?

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 86319 and 86338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86319 and 86338, than apply into the LCM equation.

GCF(86319,86338) = 1
LCM(86319,86338) = ( 86319 × 86338) / 1
LCM(86319,86338) = 7452609822 / 1
LCM(86319,86338) = 7452609822

Least Common Multiple (LCM) of 86319 and 86338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86319 and 86338. First we will calculate the prime factors of 86319 and 86338.

Prime Factorization of 86319

Prime Factorization of 86338

Now multiplying the highest exponent prime factors to calculate the LCM of 86319 and 86338.

LCM(86319,86338) = 3³ × 23¹ × 139¹ × 2¹ × 7² × 881¹
LCM(86319,86338) = 7452609822