What is the Least Common Multiple of 59305 and 59321?

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 59305 and 59321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59305 and 59321, than apply into the LCM equation.

GCF(59305,59321) = 1
LCM(59305,59321) = ( 59305 × 59321) / 1
LCM(59305,59321) = 3518031905 / 1
LCM(59305,59321) = 3518031905

Least Common Multiple (LCM) of 59305 and 59321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59305 and 59321. First we will calculate the prime factors of 59305 and 59321.

Prime Factorization of 59305

Prime Factorization of 59321

Now multiplying the highest exponent prime factors to calculate the LCM of 59305 and 59321.

LCM(59305,59321) = 5¹ × 29¹ × 409¹ × 137¹ × 433¹
LCM(59305,59321) = 3518031905