What is the Least Common Multiple of 5914 and 5928?

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 5914 and 5928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5914 and 5928, than apply into the LCM equation.

GCF(5914,5928) = 2
LCM(5914,5928) = ( 5914 × 5928) / 2
LCM(5914,5928) = 35058192 / 2
LCM(5914,5928) = 17529096

Least Common Multiple (LCM) of 5914 and 5928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5914 and 5928. First we will calculate the prime factors of 5914 and 5928.

Prime Factorization of 5914

Prime Factorization of 5928

Now multiplying the highest exponent prime factors to calculate the LCM of 5914 and 5928.

LCM(5914,5928) = 2³ × 2957¹ × 3¹ × 13¹ × 19¹
LCM(5914,5928) = 17529096