Least Common Multiple of 6920 and 6927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6920 and 6927 the smallest integer that is 47934840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6920 and 6927 is 47934840.

LCM(6920,6927) = 47934840

LCM of 6920 and 6927

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

LCM of:
and

Least Common Multiple of 6920 and 6927

LCM of 6920 and 6927 is 47934840

Least common multiple can be found by multiplying the highest exponent prime factors of 6920 and 6927. First we will calculate the prime factors of 6920 and 6927.

Prime Factorization of 6920


2 6920
2 3460
2 1730
5 865
173 173
1

Prime factors of 6920 are 2, 5,173. Prime factorization of 6920 in exponential form is:

6920 = 23×51×1731

Prime Factorization of 6927


3 6927
2309 2309
1

Prime factors of 6927 are 3,2309. Prime factorization of 6927 in exponential form is:

6927 = 31×23091

Now multiplying the highest exponent prime factors to calculate the LCM of 6920 and 6927.

LCM(6920,6927) = 23×31×51×1731×23091
LCM(6920,6927) = 47934840

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1, 3, 2309, 6927

Least Common Multiple of 6920 and 6927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6920 and 6927, than apply into the LCM equation.

GCF(6920,6927) = 1
LCM(6920,6927) = ( 6920 × 6927) / 1
LCM(6920,6927) = 47934840 / 1
LCM(6920,6927) = 47934840

Properties of LCM 6920 and 6927

(i) The LCM of 6927 and 6920 is associative

LCM of 6920 and 6927 = LCM of 6927 and 6920

Related Least Common Multiples of 6920

Related Least Common Multiples of 6927

Frequently Asked Questions on LCM of 6920 and 6927

1. What is the LCM of 6920 and 6927?

Answer: LCM of 6920 and 6927 is 47934840.

2. What are the Factors of 6920?

Answer: Factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920. There are 16 integers that are factors of 6920. The greatest factor of 6920 is 6920.

3. What are the Factors of 6927?

Answer: Factors of 6927 are 1, 3, 2309, 6927. There are 4 integers that are factors of 6927. The greatest factor of 6927 is 6927.

4. How to Find the LCM of 6920 and 6927?

Answer:

Least Common Multiple of 6920 and 6927 = 47934840

Step 1: Find the prime factorization of 6920

6920 = 2 x 2 x 2 x 5 x 173

Step 2: Find the prime factorization of 6927

6927 = 3 x 2309

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

LCM = 47934840 = 2 x 2 x 2 x 3 x 5 x 173 x 2309

Step 4: Therefore, the least common multiple of 6920 and 6927 is 47934840.