What is the Least Common Multiple of 56241 and 56255?

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 56241 and 56255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56241 and 56255, than apply into the LCM equation.

GCF(56241,56255) = 1
LCM(56241,56255) = ( 56241 × 56255) / 1
LCM(56241,56255) = 3163837455 / 1
LCM(56241,56255) = 3163837455

Least Common Multiple (LCM) of 56241 and 56255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56241 and 56255. First we will calculate the prime factors of 56241 and 56255.

Prime Factorization of 56241

Prime Factorization of 56255

Now multiplying the highest exponent prime factors to calculate the LCM of 56241 and 56255.

LCM(56241,56255) = 3³ × 2083¹ × 5¹ × 11251¹
LCM(56241,56255) = 3163837455