What is the Least Common Multiple of 59312 and 59327?

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 59312 and 59327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59312 and 59327, than apply into the LCM equation.

GCF(59312,59327) = 1
LCM(59312,59327) = ( 59312 × 59327) / 1
LCM(59312,59327) = 3518803024 / 1
LCM(59312,59327) = 3518803024

Least Common Multiple (LCM) of 59312 and 59327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59312 and 59327. First we will calculate the prime factors of 59312 and 59327.

Prime Factorization of 59312

Prime Factorization of 59327

Now multiplying the highest exponent prime factors to calculate the LCM of 59312 and 59327.

LCM(59312,59327) = 2⁴ × 11¹ × 337¹ × 41¹ × 1447¹
LCM(59312,59327) = 3518803024