What is the Least Common Multiple of 59319 and 59336?

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 59319 and 59336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59319 and 59336, than apply into the LCM equation.

GCF(59319,59336) = 1
LCM(59319,59336) = ( 59319 × 59336) / 1
LCM(59319,59336) = 3519752184 / 1
LCM(59319,59336) = 3519752184

Least Common Multiple (LCM) of 59319 and 59336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59319 and 59336. First we will calculate the prime factors of 59319 and 59336.

Prime Factorization of 59319

Prime Factorization of 59336

Now multiplying the highest exponent prime factors to calculate the LCM of 59319 and 59336.

LCM(59319,59336) = 3³ × 13³ × 2³ × 7417¹
LCM(59319,59336) = 3519752184