What is the Least Common Multiple of 29229 and 29243?

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 29229 and 29243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29229 and 29243, than apply into the LCM equation.

GCF(29229,29243) = 1
LCM(29229,29243) = ( 29229 × 29243) / 1
LCM(29229,29243) = 854743647 / 1
LCM(29229,29243) = 854743647

Least Common Multiple (LCM) of 29229 and 29243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29229 and 29243. First we will calculate the prime factors of 29229 and 29243.

Prime Factorization of 29229

Prime Factorization of 29243

Now multiplying the highest exponent prime factors to calculate the LCM of 29229 and 29243.

LCM(29229,29243) = 3¹ × 9743¹ × 29243¹
LCM(29229,29243) = 854743647