Least Common Multiple of 5884 and 5891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5884 and 5891 the smallest integer that is 34662644 that is divisible by both numbers.

Least Common Multiple (LCM) of 5884 and 5891 is 34662644.

LCM(5884,5891) = 34662644

LCM of 5884 and 5891

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5884 and 5891

LCM of 5884 and 5891 is 34662644

Least common multiple can be found by multiplying the highest exponent prime factors of 5884 and 5891. First we will calculate the prime factors of 5884 and 5891.

Prime Factorization of 5884


2 5884
2 2942
1471 1471
1

Prime factors of 5884 are 2,1471. Prime factorization of 5884 in exponential form is:

5884 = 22×14711

Prime Factorization of 5891


43 5891
137 137
1

Prime factors of 5891 are 43,137. Prime factorization of 5891 in exponential form is:

5891 = 431×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5884 and 5891.

LCM(5884,5891) = 22×431×1371×14711
LCM(5884,5891) = 34662644

Factors of 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1, 2, 4, 1471, 2942, 5884

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1, 43, 137, 5891

Least Common Multiple of 5884 and 5891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5884 and 5891, than apply into the LCM equation.

GCF(5884,5891) = 1
LCM(5884,5891) = ( 5884 × 5891) / 1
LCM(5884,5891) = 34662644 / 1
LCM(5884,5891) = 34662644

Properties of LCM 5884 and 5891

(i) The LCM of 5891 and 5884 is associative

LCM of 5884 and 5891 = LCM of 5891 and 5884

Related Least Common Multiples of 5884

Related Least Common Multiples of 5891

Frequently Asked Questions on LCM of 5884 and 5891

1. What is the LCM of 5884 and 5891?

Answer: LCM of 5884 and 5891 is 34662644.

2. What are the Factors of 5884?

Answer: Factors of 5884 are 1, 2, 4, 1471, 2942, 5884. There are 6 integers that are factors of 5884. The greatest factor of 5884 is 5884.

3. What are the Factors of 5891?

Answer: Factors of 5891 are 1, 43, 137, 5891. There are 4 integers that are factors of 5891. The greatest factor of 5891 is 5891.

4. How to Find the LCM of 5884 and 5891?

Answer:

Least Common Multiple of 5884 and 5891 = 34662644

Step 1: Find the prime factorization of 5884

5884 = 2 x 2 x 1471

Step 2: Find the prime factorization of 5891

5891 = 43 x 137

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 34662644 = 2 x 2 x 43 x 137 x 1471

Step 4: Therefore, the least common multiple of 5884 and 5891 is 34662644.