What is the Least Common Multiple of 59318 and 59329?

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 59318 and 59329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59318 and 59329, than apply into the LCM equation.

GCF(59318,59329) = 1
LCM(59318,59329) = ( 59318 × 59329) / 1
LCM(59318,59329) = 3519277622 / 1
LCM(59318,59329) = 3519277622

Least Common Multiple (LCM) of 59318 and 59329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59318 and 59329. First we will calculate the prime factors of 59318 and 59329.

Prime Factorization of 59318

Prime Factorization of 59329

Now multiplying the highest exponent prime factors to calculate the LCM of 59318 and 59329.

LCM(59318,59329) = 2¹ × 7¹ × 19¹ × 223¹ × 79¹ × 751¹
LCM(59318,59329) = 3519277622