What is the Least Common Multiple of 5840 and 5849?

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 5840 and 5849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5849, than apply into the LCM equation.

GCF(5840,5849) = 1
LCM(5840,5849) = ( 5840 × 5849) / 1
LCM(5840,5849) = 34158160 / 1
LCM(5840,5849) = 34158160

Least Common Multiple (LCM) of 5840 and 5849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5849. First we will calculate the prime factors of 5840 and 5849.

Prime Factorization of 5840

Prime Factorization of 5849

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5849.

LCM(5840,5849) = 2⁴ × 5¹ × 73¹ × 5849¹
LCM(5840,5849) = 34158160