What is the Least Common Multiple of 59388 and 59405?

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 59388 and 59405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59388 and 59405, than apply into the LCM equation.

GCF(59388,59405) = 1
LCM(59388,59405) = ( 59388 × 59405) / 1
LCM(59388,59405) = 3527944140 / 1
LCM(59388,59405) = 3527944140

Least Common Multiple (LCM) of 59388 and 59405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59388 and 59405. First we will calculate the prime factors of 59388 and 59405.

Prime Factorization of 59388

Prime Factorization of 59405

Now multiplying the highest exponent prime factors to calculate the LCM of 59388 and 59405.

LCM(59388,59405) = 2² × 3¹ × 7² × 101¹ × 5¹ × 109²
LCM(59388,59405) = 3527944140