Least Common Multiple of 5874 and 5880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5874 and 5880 the smallest integer that is 5756520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5874 and 5880 is 5756520.

LCM(5874,5880) = 5756520

LCM of 5874 and 5880

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

LCM of:
and

Least Common Multiple of 5874 and 5880

LCM of 5874 and 5880 is 5756520

Least common multiple can be found by multiplying the highest exponent prime factors of 5874 and 5880. First we will calculate the prime factors of 5874 and 5880.

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

Prime Factorization of 5880


2 5880
2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 5880 are 2, 3, 5,7. Prime factorization of 5880 in exponential form is:

5880 = 23×31×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 5874 and 5880.

LCM(5874,5880) = 23×31×51×72×111×891
LCM(5874,5880) = 5756520

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

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880

Least Common Multiple of 5874 and 5880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5874 and 5880, than apply into the LCM equation.

GCF(5874,5880) = 6
LCM(5874,5880) = ( 5874 × 5880) / 6
LCM(5874,5880) = 34539120 / 6
LCM(5874,5880) = 5756520

Properties of LCM 5874 and 5880

(i) The LCM of 5880 and 5874 is associative

LCM of 5874 and 5880 = LCM of 5880 and 5874

Related Least Common Multiples of 5874

Related Least Common Multiples of 5880

Frequently Asked Questions on LCM of 5874 and 5880

1. What is the LCM of 5874 and 5880?

Answer: LCM of 5874 and 5880 is 5756520.

2. 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.

3. What are the Factors of 5880?

Answer: Factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880. There are 48 integers that are factors of 5880. The greatest factor of 5880 is 5880.

4. How to Find the LCM of 5874 and 5880?

Answer:

Least Common Multiple of 5874 and 5880 = 5756520

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

Step 2: Find the prime factorization of 5880

5880 = 2 x 2 x 2 x 3 x 5 x 7 x 7

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

LCM = 5756520 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 5874 and 5880 is 5756520.