What is the Least Common Multiple of 56259 and 56268?

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 56259 and 56268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56259 and 56268, than apply into the LCM equation.

GCF(56259,56268) = 9
LCM(56259,56268) = ( 56259 × 56268) / 9
LCM(56259,56268) = 3165581412 / 9
LCM(56259,56268) = 351731268

Least Common Multiple (LCM) of 56259 and 56268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56259 and 56268. First we will calculate the prime factors of 56259 and 56268.

Prime Factorization of 56259

Prime Factorization of 56268

Now multiplying the highest exponent prime factors to calculate the LCM of 56259 and 56268.

LCM(56259,56268) = 3³ × 7¹ × 19¹ × 47¹ × 2² × 521¹
LCM(56259,56268) = 351731268