What is the Least Common Multiple of 56265 and 56285?

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 56265 and 56285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56265 and 56285, than apply into the LCM equation.

GCF(56265,56285) = 5
LCM(56265,56285) = ( 56265 × 56285) / 5
LCM(56265,56285) = 3166875525 / 5
LCM(56265,56285) = 633375105

Least Common Multiple (LCM) of 56265 and 56285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56265 and 56285. First we will calculate the prime factors of 56265 and 56285.

Prime Factorization of 56265

Prime Factorization of 56285

Now multiplying the highest exponent prime factors to calculate the LCM of 56265 and 56285.

LCM(56265,56285) = 3¹ × 5¹ × 11² × 31¹ × 11257¹
LCM(56265,56285) = 633375105