Least Common Multiple of 6754 and 6760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6754 and 6760 the smallest integer that is 22828520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6754 and 6760 is 22828520.

LCM(6754,6760) = 22828520

LCM of 6754 and 6760

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

LCM of:
and

Least Common Multiple of 6754 and 6760

LCM of 6754 and 6760 is 22828520

Least common multiple can be found by multiplying the highest exponent prime factors of 6754 and 6760. First we will calculate the prime factors of 6754 and 6760.

Prime Factorization of 6754


2 6754
11 3377
307 307
1

Prime factors of 6754 are 2, 11,307. Prime factorization of 6754 in exponential form is:

6754 = 21×111×3071

Prime Factorization of 6760


2 6760
2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 6760 are 2, 5,13. Prime factorization of 6760 in exponential form is:

6760 = 23×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 6754 and 6760.

LCM(6754,6760) = 23×51×111×132×3071
LCM(6754,6760) = 22828520

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1, 2, 11, 22, 307, 614, 3377, 6754

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760

Least Common Multiple of 6754 and 6760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6754 and 6760, than apply into the LCM equation.

GCF(6754,6760) = 2
LCM(6754,6760) = ( 6754 × 6760) / 2
LCM(6754,6760) = 45657040 / 2
LCM(6754,6760) = 22828520

Properties of LCM 6754 and 6760

(i) The LCM of 6760 and 6754 is associative

LCM of 6754 and 6760 = LCM of 6760 and 6754

Related Least Common Multiples of 6754

Related Least Common Multiples of 6760

Frequently Asked Questions on LCM of 6754 and 6760

1. What is the LCM of 6754 and 6760?

Answer: LCM of 6754 and 6760 is 22828520.

2. What are the Factors of 6754?

Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.

3. What are the Factors of 6760?

Answer: Factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760. There are 24 integers that are factors of 6760. The greatest factor of 6760 is 6760.

4. How to Find the LCM of 6754 and 6760?

Answer:

Least Common Multiple of 6754 and 6760 = 22828520

Step 1: Find the prime factorization of 6754

6754 = 2 x 11 x 307

Step 2: Find the prime factorization of 6760

6760 = 2 x 2 x 2 x 5 x 13 x 13

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

LCM = 22828520 = 2 x 2 x 2 x 5 x 11 x 13 x 13 x 307

Step 4: Therefore, the least common multiple of 6754 and 6760 is 22828520.