What is the Least Common Multiple of 86179 and 86199?

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 86179 and 86199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86179 and 86199, than apply into the LCM equation.

GCF(86179,86199) = 1
LCM(86179,86199) = ( 86179 × 86199) / 1
LCM(86179,86199) = 7428543621 / 1
LCM(86179,86199) = 7428543621

Least Common Multiple (LCM) of 86179 and 86199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86179 and 86199. First we will calculate the prime factors of 86179 and 86199.

Prime Factorization of 86179

Prime Factorization of 86199

Now multiplying the highest exponent prime factors to calculate the LCM of 86179 and 86199.

LCM(86179,86199) = 86179¹ × 3¹ × 59¹ × 487¹
LCM(86179,86199) = 7428543621