What is the Least Common Multiple of 29183 and 29199?

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 29183 and 29199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29183 and 29199, than apply into the LCM equation.

GCF(29183,29199) = 1
LCM(29183,29199) = ( 29183 × 29199) / 1
LCM(29183,29199) = 852114417 / 1
LCM(29183,29199) = 852114417

Least Common Multiple (LCM) of 29183 and 29199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29183 and 29199. First we will calculate the prime factors of 29183 and 29199.

Prime Factorization of 29183

Prime Factorization of 29199

Now multiplying the highest exponent prime factors to calculate the LCM of 29183 and 29199.

LCM(29183,29199) = 7¹ × 11¹ × 379¹ × 3¹ × 9733¹
LCM(29183,29199) = 852114417