What is the Least Common Multiple of 48382 and 48397?

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 48382 and 48397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48382 and 48397, than apply into the LCM equation.

GCF(48382,48397) = 1
LCM(48382,48397) = ( 48382 × 48397) / 1
LCM(48382,48397) = 2341543654 / 1
LCM(48382,48397) = 2341543654

Least Common Multiple (LCM) of 48382 and 48397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48382 and 48397. First we will calculate the prime factors of 48382 and 48397.

Prime Factorization of 48382

Prime Factorization of 48397

Now multiplying the highest exponent prime factors to calculate the LCM of 48382 and 48397.

LCM(48382,48397) = 2¹ × 17¹ × 1423¹ × 48397¹
LCM(48382,48397) = 2341543654