What is the Least Common Multiple of 59326 and 59339?

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 59326 and 59339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59326 and 59339, than apply into the LCM equation.

GCF(59326,59339) = 1
LCM(59326,59339) = ( 59326 × 59339) / 1
LCM(59326,59339) = 3520345514 / 1
LCM(59326,59339) = 3520345514

Least Common Multiple (LCM) of 59326 and 59339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59326 and 59339. First we will calculate the prime factors of 59326 and 59339.

Prime Factorization of 59326

Prime Factorization of 59339

Now multiplying the highest exponent prime factors to calculate the LCM of 59326 and 59339.

LCM(59326,59339) = 2¹ × 29663¹ × 7³ × 173¹
LCM(59326,59339) = 3520345514