What is the Least Common Multiple of 5834 and 5840?

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 5834 and 5840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5834 and 5840, than apply into the LCM equation.

GCF(5834,5840) = 2
LCM(5834,5840) = ( 5834 × 5840) / 2
LCM(5834,5840) = 34070560 / 2
LCM(5834,5840) = 17035280

Least Common Multiple (LCM) of 5834 and 5840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5834 and 5840. First we will calculate the prime factors of 5834 and 5840.

Prime Factorization of 5834

Prime Factorization of 5840

Now multiplying the highest exponent prime factors to calculate the LCM of 5834 and 5840.

LCM(5834,5840) = 2⁴ × 2917¹ × 5¹ × 73¹
LCM(5834,5840) = 17035280