Least Common Multiple of 5868 and 5874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5868 and 5874 the smallest integer that is 5744772 that is divisible by both numbers.

Least Common Multiple (LCM) of 5868 and 5874 is 5744772.

LCM(5868,5874) = 5744772

LCM of 5868 and 5874

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

LCM of:
and

Least Common Multiple of 5868 and 5874

LCM of 5868 and 5874 is 5744772

Least common multiple can be found by multiplying the highest exponent prime factors of 5868 and 5874. First we will calculate the prime factors of 5868 and 5874.

Prime Factorization of 5868


2 5868
2 2934
3 1467
3 489
163 163
1

Prime factors of 5868 are 2, 3,163. Prime factorization of 5868 in exponential form is:

5868 = 22×32×1631

Prime Factorization of 5874


2 5874
3 2937
11 979
89 89
1

Prime factors of 5874 are 2, 3, 11,89. Prime factorization of 5874 in exponential form is:

5874 = 21×31×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5868 and 5874.

LCM(5868,5874) = 22×32×111×891×1631
LCM(5868,5874) = 5744772

Factors of 5868

List of positive integer factors of 5868 that divides 5868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874

Least Common Multiple of 5868 and 5874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5868 and 5874, than apply into the LCM equation.

GCF(5868,5874) = 6
LCM(5868,5874) = ( 5868 × 5874) / 6
LCM(5868,5874) = 34468632 / 6
LCM(5868,5874) = 5744772

Properties of LCM 5868 and 5874

(i) The LCM of 5874 and 5868 is associative

LCM of 5868 and 5874 = LCM of 5874 and 5868

Related Least Common Multiples of 5868

Related Least Common Multiples of 5874

Frequently Asked Questions on LCM of 5868 and 5874

1. What is the LCM of 5868 and 5874?

Answer: LCM of 5868 and 5874 is 5744772.

2. What are the Factors of 5868?

Answer: Factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868. There are 18 integers that are factors of 5868. The greatest factor of 5868 is 5868.

3. What are the Factors of 5874?

Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.

4. How to Find the LCM of 5868 and 5874?

Answer:

Least Common Multiple of 5868 and 5874 = 5744772

Step 1: Find the prime factorization of 5868

5868 = 2 x 2 x 3 x 3 x 163

Step 2: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

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

LCM = 5744772 = 2 x 2 x 3 x 3 x 11 x 89 x 163

Step 4: Therefore, the least common multiple of 5868 and 5874 is 5744772.