What is the Least Common Multiple of 59390 and 59395?

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 59390 and 59395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59390 and 59395, than apply into the LCM equation.

GCF(59390,59395) = 5
LCM(59390,59395) = ( 59390 × 59395) / 5
LCM(59390,59395) = 3527469050 / 5
LCM(59390,59395) = 705493810

Least Common Multiple (LCM) of 59390 and 59395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59390 and 59395. First we will calculate the prime factors of 59390 and 59395.

Prime Factorization of 59390

Prime Factorization of 59395

Now multiplying the highest exponent prime factors to calculate the LCM of 59390 and 59395.

LCM(59390,59395) = 2¹ × 5¹ × 5939¹ × 7¹ × 1697¹
LCM(59390,59395) = 705493810