What is the Least Common Multiple of 48382 and 48391?

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 48391 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 48391, than apply into the LCM equation.

GCF(48382,48391) = 1
LCM(48382,48391) = ( 48382 × 48391) / 1
LCM(48382,48391) = 2341253362 / 1
LCM(48382,48391) = 2341253362

Least Common Multiple (LCM) of 48382 and 48391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48382 and 48391. First we will calculate the prime factors of 48382 and 48391.

Prime Factorization of 48382

Prime Factorization of 48391

Now multiplying the highest exponent prime factors to calculate the LCM of 48382 and 48391.

LCM(48382,48391) = 2¹ × 17¹ × 1423¹ × 7¹ × 31¹ × 223¹
LCM(48382,48391) = 2341253362