What is the Least Common Multiple of 5378 and 5382?

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 5378 and 5382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5378 and 5382, than apply into the LCM equation.

GCF(5378,5382) = 2
LCM(5378,5382) = ( 5378 × 5382) / 2
LCM(5378,5382) = 28944396 / 2
LCM(5378,5382) = 14472198

Least Common Multiple (LCM) of 5378 and 5382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5378 and 5382. First we will calculate the prime factors of 5378 and 5382.

Prime Factorization of 5378

Prime Factorization of 5382

Now multiplying the highest exponent prime factors to calculate the LCM of 5378 and 5382.

LCM(5378,5382) = 2¹ × 2689¹ × 3² × 13¹ × 23¹
LCM(5378,5382) = 14472198