Least Common Multiple of 5920 and 5927

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 5927 the smallest integer that is 35087840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5920 and 5927 is 35087840.

LCM(5920,5927) = 35087840

LCM of 5920 and 5927

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

LCM of:
and

Least Common Multiple of 5920 and 5927

LCM of 5920 and 5927 is 35087840

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5927. First we will calculate the prime factors of 5920 and 5927.

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 5927


5927 5927
1

Prime factors of 5927 are 5927. Prime factorization of 5927 in exponential form is:

5927 = 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5927.

LCM(5920,5927) = 25×51×371×59271
LCM(5920,5927) = 35087840

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 5927

List of positive integer factors of 5927 that divides 5927 without a remainder.

1, 5927

Least Common Multiple of 5920 and 5927 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 5927, than apply into the LCM equation.

GCF(5920,5927) = 1
LCM(5920,5927) = ( 5920 × 5927) / 1
LCM(5920,5927) = 35087840 / 1
LCM(5920,5927) = 35087840

Properties of LCM 5920 and 5927

(i) The LCM of 5927 and 5920 is associative

LCM of 5920 and 5927 = LCM of 5927 and 5920

Related Least Common Multiples of 5920

Related Least Common Multiples of 5927

Frequently Asked Questions on LCM of 5920 and 5927

1. What is the LCM of 5920 and 5927?

Answer: LCM of 5920 and 5927 is 35087840.

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 5927?

Answer: Factors of 5927 are 1, 5927. There are 2 integers that are factors of 5927. The greatest factor of 5927 is 5927.

4. How to Find the LCM of 5920 and 5927?

Answer:

Least Common Multiple of 5920 and 5927 = 35087840

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 5927

5927 = 5927

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

LCM = 35087840 = 2 x 2 x 2 x 2 x 2 x 5 x 37 x 5927

Step 4: Therefore, the least common multiple of 5920 and 5927 is 35087840.