What is the Least Common Multiple of 29286 and 29300?

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 29300 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 29300, than apply into the LCM equation.

GCF(29286,29300) = 2
LCM(29286,29300) = ( 29286 × 29300) / 2
LCM(29286,29300) = 858079800 / 2
LCM(29286,29300) = 429039900

Least Common Multiple (LCM) of 29286 and 29300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29286 and 29300. First we will calculate the prime factors of 29286 and 29300.

Prime Factorization of 29286

Prime Factorization of 29300

Now multiplying the highest exponent prime factors to calculate the LCM of 29286 and 29300.

LCM(29286,29300) = 2² × 3² × 1627¹ × 5² × 293¹
LCM(29286,29300) = 429039900