What is the Least Common Multiple of 29289 and 29301?

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 29289 and 29301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29289 and 29301, than apply into the LCM equation.

GCF(29289,29301) = 3
LCM(29289,29301) = ( 29289 × 29301) / 3
LCM(29289,29301) = 858196989 / 3
LCM(29289,29301) = 286065663

Least Common Multiple (LCM) of 29289 and 29301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29289 and 29301. First we will calculate the prime factors of 29289 and 29301.

Prime Factorization of 29289

Prime Factorization of 29301

Now multiplying the highest exponent prime factors to calculate the LCM of 29289 and 29301.

LCM(29289,29301) = 3¹ × 13¹ × 751¹ × 9767¹
LCM(29289,29301) = 286065663