Least Common Multiple of 6913 and 6920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6913 and 6920 the smallest integer that is 47837960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6913 and 6920 is 47837960.

LCM(6913,6920) = 47837960

LCM of 6913 and 6920

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

LCM of:
and

Least Common Multiple of 6913 and 6920

LCM of 6913 and 6920 is 47837960

Least common multiple can be found by multiplying the highest exponent prime factors of 6913 and 6920. First we will calculate the prime factors of 6913 and 6920.

Prime Factorization of 6913


31 6913
223 223
1

Prime factors of 6913 are 31,223. Prime factorization of 6913 in exponential form is:

6913 = 311×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6913 and 6920.

LCM(6913,6920) = 23×51×311×1731×2231
LCM(6913,6920) = 47837960

Factors of 6913

List of positive integer factors of 6913 that divides 6913 without a remainder.

1, 31, 223, 6913

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

Least Common Multiple of 6913 and 6920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6913 and 6920, than apply into the LCM equation.

GCF(6913,6920) = 1
LCM(6913,6920) = ( 6913 × 6920) / 1
LCM(6913,6920) = 47837960 / 1
LCM(6913,6920) = 47837960

Properties of LCM 6913 and 6920

(i) The LCM of 6920 and 6913 is associative

LCM of 6913 and 6920 = LCM of 6920 and 6913

Related Least Common Multiples of 6913

Related Least Common Multiples of 6920

Frequently Asked Questions on LCM of 6913 and 6920

1. What is the LCM of 6913 and 6920?

Answer: LCM of 6913 and 6920 is 47837960.

2. What are the Factors of 6913?

Answer: Factors of 6913 are 1, 31, 223, 6913. There are 4 integers that are factors of 6913. The greatest factor of 6913 is 6913.

3. 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.

4. How to Find the LCM of 6913 and 6920?

Answer:

Least Common Multiple of 6913 and 6920 = 47837960

Step 1: Find the prime factorization of 6913

6913 = 31 x 223

Step 2: Find the prime factorization of 6920

6920 = 2 x 2 x 2 x 5 x 173

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

LCM = 47837960 = 2 x 2 x 2 x 5 x 31 x 173 x 223

Step 4: Therefore, the least common multiple of 6913 and 6920 is 47837960.