What is the Least Common Multiple of 86199 and 86208?

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 86199 and 86208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86199 and 86208, than apply into the LCM equation.

GCF(86199,86208) = 3
LCM(86199,86208) = ( 86199 × 86208) / 3
LCM(86199,86208) = 7431043392 / 3
LCM(86199,86208) = 2477014464

Least Common Multiple (LCM) of 86199 and 86208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86199 and 86208. First we will calculate the prime factors of 86199 and 86208.

Prime Factorization of 86199

Prime Factorization of 86208

Now multiplying the highest exponent prime factors to calculate the LCM of 86199 and 86208.

LCM(86199,86208) = 3¹ × 59¹ × 487¹ × 2⁶ × 449¹
LCM(86199,86208) = 2477014464