Least Common Multiple of 5912 and 5920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5912 and 5920 the smallest integer that is 4374880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5912 and 5920 is 4374880.

LCM(5912,5920) = 4374880

LCM of 5912 and 5920

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

LCM of:
and

Least Common Multiple of 5912 and 5920

LCM of 5912 and 5920 is 4374880

Least common multiple can be found by multiplying the highest exponent prime factors of 5912 and 5920. First we will calculate the prime factors of 5912 and 5920.

Prime Factorization of 5912


2 5912
2 2956
2 1478
739 739
1

Prime factors of 5912 are 2,739. Prime factorization of 5912 in exponential form is:

5912 = 23×7391

Prime Factorization of 5920


2 5920
2 2960
2 1480
2 740
2 370
5 185
37 37
1

Prime factors of 5920 are 2, 5,37. Prime factorization of 5920 in exponential form is:

5920 = 25×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5912 and 5920.

LCM(5912,5920) = 25×51×371×7391
LCM(5912,5920) = 4374880

Factors of 5912

List of positive integer factors of 5912 that divides 5912 without a remainder.

1, 2, 4, 8, 739, 1478, 2956, 5912

Factors of 5920

List of positive integer factors of 5920 that divides 5920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920

Least Common Multiple of 5912 and 5920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5912 and 5920, than apply into the LCM equation.

GCF(5912,5920) = 8
LCM(5912,5920) = ( 5912 × 5920) / 8
LCM(5912,5920) = 34999040 / 8
LCM(5912,5920) = 4374880

Properties of LCM 5912 and 5920

(i) The LCM of 5920 and 5912 is associative

LCM of 5912 and 5920 = LCM of 5920 and 5912

Related Least Common Multiples of 5912

Related Least Common Multiples of 5920

Frequently Asked Questions on LCM of 5912 and 5920

1. What is the LCM of 5912 and 5920?

Answer: LCM of 5912 and 5920 is 4374880.

2. What are the Factors of 5912?

Answer: Factors of 5912 are 1, 2, 4, 8, 739, 1478, 2956, 5912. There are 8 integers that are factors of 5912. The greatest factor of 5912 is 5912.

3. What are the Factors of 5920?

Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.

4. How to Find the LCM of 5912 and 5920?

Answer:

Least Common Multiple of 5912 and 5920 = 4374880

Step 1: Find the prime factorization of 5912

5912 = 2 x 2 x 2 x 739

Step 2: Find the prime factorization of 5920

5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37

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

LCM = 4374880 = 2 x 2 x 2 x 2 x 2 x 5 x 37 x 739

Step 4: Therefore, the least common multiple of 5912 and 5920 is 4374880.