What is the Least Common Multiple of 29259 and 29265?

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 29259 and 29265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29259 and 29265, than apply into the LCM equation.

GCF(29259,29265) = 3
LCM(29259,29265) = ( 29259 × 29265) / 3
LCM(29259,29265) = 856264635 / 3
LCM(29259,29265) = 285421545

Least Common Multiple (LCM) of 29259 and 29265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29259 and 29265. First we will calculate the prime factors of 29259 and 29265.

Prime Factorization of 29259

Prime Factorization of 29265

Now multiplying the highest exponent prime factors to calculate the LCM of 29259 and 29265.

LCM(29259,29265) = 3² × 3251¹ × 5¹ × 1951¹
LCM(29259,29265) = 285421545