What is the Least Common Multiple of 5360 and 5378?

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 5360 and 5378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5360 and 5378, than apply into the LCM equation.

GCF(5360,5378) = 2
LCM(5360,5378) = ( 5360 × 5378) / 2
LCM(5360,5378) = 28826080 / 2
LCM(5360,5378) = 14413040

Least Common Multiple (LCM) of 5360 and 5378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5378. First we will calculate the prime factors of 5360 and 5378.

Prime Factorization of 5360

Prime Factorization of 5378

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5378.

LCM(5360,5378) = 2⁴ × 5¹ × 67¹ × 2689¹
LCM(5360,5378) = 14413040