Least Common Multiple of 5876 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 5876 and 5880 the smallest integer that is 8637720 that is divisible by both numbers.

Least Common Multiple (LCM) of 5876 and 5880 is 8637720.

LCM(5876,5880) = 8637720

LCM of 5876 and 5880

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

LCM of:
and

Least Common Multiple of 5876 and 5880

LCM of 5876 and 5880 is 8637720

Least common multiple can be found by multiplying the highest exponent prime factors of 5876 and 5880. First we will calculate the prime factors of 5876 and 5880.

Prime Factorization of 5876


2 5876
2 2938
13 1469
113 113
1

Prime factors of 5876 are 2, 13,113. Prime factorization of 5876 in exponential form is:

5876 = 22×131×1131

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 5876 and 5880.

LCM(5876,5880) = 23×31×51×72×131×1131
LCM(5876,5880) = 8637720

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876

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 5876 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 5876 and 5880, than apply into the LCM equation.

GCF(5876,5880) = 4
LCM(5876,5880) = ( 5876 × 5880) / 4
LCM(5876,5880) = 34550880 / 4
LCM(5876,5880) = 8637720

Properties of LCM 5876 and 5880

(i) The LCM of 5880 and 5876 is associative

LCM of 5876 and 5880 = LCM of 5880 and 5876

Related Least Common Multiples of 5876

Related Least Common Multiples of 5880

Frequently Asked Questions on LCM of 5876 and 5880

1. What is the LCM of 5876 and 5880?

Answer: LCM of 5876 and 5880 is 8637720.

2. What are the Factors of 5876?

Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.

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 5876 and 5880?

Answer:

Least Common Multiple of 5876 and 5880 = 8637720

Step 1: Find the prime factorization of 5876

5876 = 2 x 2 x 13 x 113

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 = 8637720 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 113

Step 4: Therefore, the least common multiple of 5876 and 5880 is 8637720.