What is the Least Common Multiple of 29274 and 29289?

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 29274 and 29289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29274 and 29289, than apply into the LCM equation.

GCF(29274,29289) = 3
LCM(29274,29289) = ( 29274 × 29289) / 3
LCM(29274,29289) = 857406186 / 3
LCM(29274,29289) = 285802062

Least Common Multiple (LCM) of 29274 and 29289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29274 and 29289. First we will calculate the prime factors of 29274 and 29289.

Prime Factorization of 29274

Prime Factorization of 29289

Now multiplying the highest exponent prime factors to calculate the LCM of 29274 and 29289.

LCM(29274,29289) = 2¹ × 3¹ × 7¹ × 17¹ × 41¹ × 13¹ × 751¹
LCM(29274,29289) = 285802062