What is the Least Common Multiple of 29233 and 29247?

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 29233 and 29247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29233 and 29247, than apply into the LCM equation.

GCF(29233,29247) = 1
LCM(29233,29247) = ( 29233 × 29247) / 1
LCM(29233,29247) = 854977551 / 1
LCM(29233,29247) = 854977551

Least Common Multiple (LCM) of 29233 and 29247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29233 and 29247. First we will calculate the prime factors of 29233 and 29247.

Prime Factorization of 29233

Prime Factorization of 29247

Now multiplying the highest exponent prime factors to calculate the LCM of 29233 and 29247.

LCM(29233,29247) = 23¹ × 31¹ × 41¹ × 3¹ × 9749¹
LCM(29233,29247) = 854977551