What is the Least Common Multiple of 48376 and 48382?

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 48376 and 48382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48376 and 48382, than apply into the LCM equation.

GCF(48376,48382) = 2
LCM(48376,48382) = ( 48376 × 48382) / 2
LCM(48376,48382) = 2340527632 / 2
LCM(48376,48382) = 1170263816

Least Common Multiple (LCM) of 48376 and 48382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48376 and 48382. First we will calculate the prime factors of 48376 and 48382.

Prime Factorization of 48376

Prime Factorization of 48382

Now multiplying the highest exponent prime factors to calculate the LCM of 48376 and 48382.

LCM(48376,48382) = 2³ × 6047¹ × 17¹ × 1423¹
LCM(48376,48382) = 1170263816