Least Common Multiple of 5920 and 5926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5920 and 5926 the smallest integer that is 17540960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5920 and 5926 is 17540960.

LCM(5920,5926) = 17540960

LCM of 5920 and 5926

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

LCM of:
and

Least Common Multiple of 5920 and 5926

LCM of 5920 and 5926 is 17540960

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5926. First we will calculate the prime factors of 5920 and 5926.

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

Prime Factorization of 5926


2 5926
2963 2963
1

Prime factors of 5926 are 2,2963. Prime factorization of 5926 in exponential form is:

5926 = 21×29631

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5926.

LCM(5920,5926) = 25×51×371×29631
LCM(5920,5926) = 17540960

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

Factors of 5926

List of positive integer factors of 5926 that divides 5926 without a remainder.

1, 2, 2963, 5926

Least Common Multiple of 5920 and 5926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5920 and 5926, than apply into the LCM equation.

GCF(5920,5926) = 2
LCM(5920,5926) = ( 5920 × 5926) / 2
LCM(5920,5926) = 35081920 / 2
LCM(5920,5926) = 17540960

Properties of LCM 5920 and 5926

(i) The LCM of 5926 and 5920 is associative

LCM of 5920 and 5926 = LCM of 5926 and 5920

Related Least Common Multiples of 5920

Related Least Common Multiples of 5926

Frequently Asked Questions on LCM of 5920 and 5926

1. What is the LCM of 5920 and 5926?

Answer: LCM of 5920 and 5926 is 17540960.

2. 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.

3. What are the Factors of 5926?

Answer: Factors of 5926 are 1, 2, 2963, 5926. There are 4 integers that are factors of 5926. The greatest factor of 5926 is 5926.

4. How to Find the LCM of 5920 and 5926?

Answer:

Least Common Multiple of 5920 and 5926 = 17540960

Step 1: Find the prime factorization of 5920

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

Step 2: Find the prime factorization of 5926

5926 = 2 x 2963

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

LCM = 17540960 = 2 x 2 x 2 x 2 x 2 x 5 x 37 x 2963

Step 4: Therefore, the least common multiple of 5920 and 5926 is 17540960.