What is the Least Common Multiple of 23312 and 23317?

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 23312 and 23317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23312 and 23317, than apply into the LCM equation.

GCF(23312,23317) = 1
LCM(23312,23317) = ( 23312 × 23317) / 1
LCM(23312,23317) = 543565904 / 1
LCM(23312,23317) = 543565904

Least Common Multiple (LCM) of 23312 and 23317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23312 and 23317. First we will calculate the prime factors of 23312 and 23317.

Prime Factorization of 23312

Prime Factorization of 23317

Now multiplying the highest exponent prime factors to calculate the LCM of 23312 and 23317.

LCM(23312,23317) = 2⁴ × 31¹ × 47¹ × 7¹ × 3331¹
LCM(23312,23317) = 543565904