What is the Least Common Multiple of 29289 and 29298?

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 29298 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 29298, than apply into the LCM equation.

GCF(29289,29298) = 3
LCM(29289,29298) = ( 29289 × 29298) / 3
LCM(29289,29298) = 858109122 / 3
LCM(29289,29298) = 286036374

Least Common Multiple (LCM) of 29289 and 29298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29289 and 29298. First we will calculate the prime factors of 29289 and 29298.

Prime Factorization of 29289

Prime Factorization of 29298

Now multiplying the highest exponent prime factors to calculate the LCM of 29289 and 29298.

LCM(29289,29298) = 3¹ × 13¹ × 751¹ × 2¹ × 19¹ × 257¹
LCM(29289,29298) = 286036374