What is the Least Common Multiple of 58277 and 58285?

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 58277 and 58285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58277 and 58285, than apply into the LCM equation.

GCF(58277,58285) = 1
LCM(58277,58285) = ( 58277 × 58285) / 1
LCM(58277,58285) = 3396674945 / 1
LCM(58277,58285) = 3396674945

Least Common Multiple (LCM) of 58277 and 58285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58277 and 58285. First we will calculate the prime factors of 58277 and 58285.

Prime Factorization of 58277

Prime Factorization of 58285

Now multiplying the highest exponent prime factors to calculate the LCM of 58277 and 58285.

LCM(58277,58285) = 101¹ × 577¹ × 5¹ × 11657¹
LCM(58277,58285) = 3396674945