What is the Least Common Multiple of 29278 and 29286?

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 29286 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 29286, than apply into the LCM equation.

GCF(29278,29286) = 2
LCM(29278,29286) = ( 29278 × 29286) / 2
LCM(29278,29286) = 857435508 / 2
LCM(29278,29286) = 428717754

Least Common Multiple (LCM) of 29278 and 29286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29278 and 29286. First we will calculate the prime factors of 29278 and 29286.

Prime Factorization of 29278

Prime Factorization of 29286

Now multiplying the highest exponent prime factors to calculate the LCM of 29278 and 29286.

LCM(29278,29286) = 2¹ × 14639¹ × 3² × 1627¹
LCM(29278,29286) = 428717754