What is the Least Common Multiple of 29286 and 29295?

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 29286 and 29295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29286 and 29295, than apply into the LCM equation.

GCF(29286,29295) = 9
LCM(29286,29295) = ( 29286 × 29295) / 9
LCM(29286,29295) = 857933370 / 9
LCM(29286,29295) = 95325930

Least Common Multiple (LCM) of 29286 and 29295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29286 and 29295. First we will calculate the prime factors of 29286 and 29295.

Prime Factorization of 29286

Prime Factorization of 29295

Now multiplying the highest exponent prime factors to calculate the LCM of 29286 and 29295.

LCM(29286,29295) = 2¹ × 3³ × 1627¹ × 5¹ × 7¹ × 31¹
LCM(29286,29295) = 95325930