What is the Least Common Multiple of 59321 and 59341?

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 59341 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 59341, than apply into the LCM equation.

GCF(59321,59341) = 1
LCM(59321,59341) = ( 59321 × 59341) / 1
LCM(59321,59341) = 3520167461 / 1
LCM(59321,59341) = 3520167461

Least Common Multiple (LCM) of 59321 and 59341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59321 and 59341. First we will calculate the prime factors of 59321 and 59341.

Prime Factorization of 59321

Prime Factorization of 59341

Now multiplying the highest exponent prime factors to calculate the LCM of 59321 and 59341.

LCM(59321,59341) = 137¹ × 433¹ × 59341¹
LCM(59321,59341) = 3520167461