What is the Least Common Multiple of 48327 and 48341?

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 48327 and 48341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48327 and 48341, than apply into the LCM equation.

GCF(48327,48341) = 1
LCM(48327,48341) = ( 48327 × 48341) / 1
LCM(48327,48341) = 2336175507 / 1
LCM(48327,48341) = 2336175507

Least Common Multiple (LCM) of 48327 and 48341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48327 and 48341. First we will calculate the prime factors of 48327 and 48341.

Prime Factorization of 48327

Prime Factorization of 48341

Now multiplying the highest exponent prime factors to calculate the LCM of 48327 and 48341.

LCM(48327,48341) = 3¹ × 89¹ × 181¹ × 48341¹
LCM(48327,48341) = 2336175507