What is the Least Common Multiple of 59339 and 59353?

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 59339 and 59353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59339 and 59353, than apply into the LCM equation.

GCF(59339,59353) = 7
LCM(59339,59353) = ( 59339 × 59353) / 7
LCM(59339,59353) = 3521947667 / 7
LCM(59339,59353) = 503135381

Least Common Multiple (LCM) of 59339 and 59353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59339 and 59353. First we will calculate the prime factors of 59339 and 59353.

Prime Factorization of 59339

Prime Factorization of 59353

Now multiplying the highest exponent prime factors to calculate the LCM of 59339 and 59353.

LCM(59339,59353) = 7³ × 173¹ × 61¹ × 139¹
LCM(59339,59353) = 503135381