What is the Least Common Multiple of 29288 and 29293?

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 29288 and 29293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29288 and 29293, than apply into the LCM equation.

GCF(29288,29293) = 1
LCM(29288,29293) = ( 29288 × 29293) / 1
LCM(29288,29293) = 857933384 / 1
LCM(29288,29293) = 857933384

Least Common Multiple (LCM) of 29288 and 29293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29288 and 29293. First we will calculate the prime factors of 29288 and 29293.

Prime Factorization of 29288

Prime Factorization of 29293

Now multiplying the highest exponent prime factors to calculate the LCM of 29288 and 29293.

LCM(29288,29293) = 2³ × 7¹ × 523¹ × 11¹ × 2663¹
LCM(29288,29293) = 857933384