What is the Least Common Multiple of 29278 and 29292?

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 29278 and 29292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29278 and 29292, than apply into the LCM equation.

GCF(29278,29292) = 2
LCM(29278,29292) = ( 29278 × 29292) / 2
LCM(29278,29292) = 857611176 / 2
LCM(29278,29292) = 428805588

Least Common Multiple (LCM) of 29278 and 29292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29278 and 29292. First we will calculate the prime factors of 29278 and 29292.

Prime Factorization of 29278

Prime Factorization of 29292

Now multiplying the highest exponent prime factors to calculate the LCM of 29278 and 29292.

LCM(29278,29292) = 2² × 14639¹ × 3¹ × 2441¹
LCM(29278,29292) = 428805588