What is the Least Common Multiple of 59285 and 59290?

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 59285 and 59290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59285 and 59290, than apply into the LCM equation.

GCF(59285,59290) = 5
LCM(59285,59290) = ( 59285 × 59290) / 5
LCM(59285,59290) = 3515007650 / 5
LCM(59285,59290) = 703001530

Least Common Multiple (LCM) of 59285 and 59290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59285 and 59290. First we will calculate the prime factors of 59285 and 59290.

Prime Factorization of 59285

Prime Factorization of 59290

Now multiplying the highest exponent prime factors to calculate the LCM of 59285 and 59290.

LCM(59285,59290) = 5¹ × 71¹ × 167¹ × 2¹ × 7² × 11²
LCM(59285,59290) = 703001530