What is the Least Common Multiple of 71199 and 71217?

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 71199 and 71217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71199 and 71217, than apply into the LCM equation.

GCF(71199,71217) = 9
LCM(71199,71217) = ( 71199 × 71217) / 9
LCM(71199,71217) = 5070579183 / 9
LCM(71199,71217) = 563397687

Least Common Multiple (LCM) of 71199 and 71217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71199 and 71217. First we will calculate the prime factors of 71199 and 71217.

Prime Factorization of 71199

Prime Factorization of 71217

Now multiplying the highest exponent prime factors to calculate the LCM of 71199 and 71217.

LCM(71199,71217) = 3⁵ × 293¹ × 41¹ × 193¹
LCM(71199,71217) = 563397687