Least Common Multiple of 5921 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 5921 and 5927 the smallest integer that is 35093767 that is divisible by both numbers.

Least Common Multiple (LCM) of 5921 and 5927 is 35093767.

LCM(5921,5927) = 35093767

LCM of 5921 and 5927

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

LCM of:
and

Least Common Multiple of 5921 and 5927

LCM of 5921 and 5927 is 35093767

Least common multiple can be found by multiplying the highest exponent prime factors of 5921 and 5927. First we will calculate the prime factors of 5921 and 5927.

Prime Factorization of 5921


31 5921
191 191
1

Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:

5921 = 311×1911

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 5921 and 5927.

LCM(5921,5927) = 311×1911×59271
LCM(5921,5927) = 35093767

Factors of 5921

List of positive integer factors of 5921 that divides 5921 without a remainder.

1, 31, 191, 5921

Factors of 5927

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

1, 5927

Least Common Multiple of 5921 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 5921 and 5927, than apply into the LCM equation.

GCF(5921,5927) = 1
LCM(5921,5927) = ( 5921 × 5927) / 1
LCM(5921,5927) = 35093767 / 1
LCM(5921,5927) = 35093767

Properties of LCM 5921 and 5927

(i) The LCM of 5927 and 5921 is associative

LCM of 5921 and 5927 = LCM of 5927 and 5921

Related Least Common Multiples of 5921

Related Least Common Multiples of 5927

Frequently Asked Questions on LCM of 5921 and 5927

1. What is the LCM of 5921 and 5927?

Answer: LCM of 5921 and 5927 is 35093767.

2. What are the Factors of 5921?

Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.

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 5921 and 5927?

Answer:

Least Common Multiple of 5921 and 5927 = 35093767

Step 1: Find the prime factorization of 5921

5921 = 31 x 191

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 = 35093767 = 31 x 191 x 5927

Step 4: Therefore, the least common multiple of 5921 and 5927 is 35093767.