What is the Least Common Multiple of 59301 and 59312?

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 59301 and 59312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59301 and 59312, than apply into the LCM equation.

GCF(59301,59312) = 11
LCM(59301,59312) = ( 59301 × 59312) / 11
LCM(59301,59312) = 3517260912 / 11
LCM(59301,59312) = 319750992

Least Common Multiple (LCM) of 59301 and 59312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59301 and 59312. First we will calculate the prime factors of 59301 and 59312.

Prime Factorization of 59301

Prime Factorization of 59312

Now multiplying the highest exponent prime factors to calculate the LCM of 59301 and 59312.

LCM(59301,59312) = 3² × 11¹ × 599¹ × 2⁴ × 337¹
LCM(59301,59312) = 319750992