Least Common Multiple of 6918 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 6918 and 6920 the smallest integer that is 23936280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6918 and 6920 is 23936280.

LCM(6918,6920) = 23936280

LCM of 6918 and 6920

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

LCM of:
and

Least Common Multiple of 6918 and 6920

LCM of 6918 and 6920 is 23936280

Least common multiple can be found by multiplying the highest exponent prime factors of 6918 and 6920. First we will calculate the prime factors of 6918 and 6920.

Prime Factorization of 6918


2 6918
3 3459
1153 1153
1

Prime factors of 6918 are 2, 3,1153. Prime factorization of 6918 in exponential form is:

6918 = 21×31×11531

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 6918 and 6920.

LCM(6918,6920) = 23×31×51×1731×11531
LCM(6918,6920) = 23936280

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1, 2, 3, 6, 1153, 2306, 3459, 6918

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 6918 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 6918 and 6920, than apply into the LCM equation.

GCF(6918,6920) = 2
LCM(6918,6920) = ( 6918 × 6920) / 2
LCM(6918,6920) = 47872560 / 2
LCM(6918,6920) = 23936280

Properties of LCM 6918 and 6920

(i) The LCM of 6920 and 6918 is associative

LCM of 6918 and 6920 = LCM of 6920 and 6918

Related Least Common Multiples of 6918

Related Least Common Multiples of 6920

Frequently Asked Questions on LCM of 6918 and 6920

1. What is the LCM of 6918 and 6920?

Answer: LCM of 6918 and 6920 is 23936280.

2. What are the Factors of 6918?

Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.

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 6918 and 6920?

Answer:

Least Common Multiple of 6918 and 6920 = 23936280

Step 1: Find the prime factorization of 6918

6918 = 2 x 3 x 1153

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 = 23936280 = 2 x 2 x 2 x 3 x 5 x 173 x 1153

Step 4: Therefore, the least common multiple of 6918 and 6920 is 23936280.