What is the Least Common Multiple of 59321 and 59327?

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 59321 and 59327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59321 and 59327, than apply into the LCM equation.

GCF(59321,59327) = 1
LCM(59321,59327) = ( 59321 × 59327) / 1
LCM(59321,59327) = 3519336967 / 1
LCM(59321,59327) = 3519336967

Least Common Multiple (LCM) of 59321 and 59327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59321 and 59327. First we will calculate the prime factors of 59321 and 59327.

Prime Factorization of 59321

Prime Factorization of 59327

Now multiplying the highest exponent prime factors to calculate the LCM of 59321 and 59327.

LCM(59321,59327) = 137¹ × 433¹ × 41¹ × 1447¹
LCM(59321,59327) = 3519336967