Least Common Multiple of 6754 and 6758

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 6758 the smallest integer that is 22821766 that is divisible by both numbers.

Least Common Multiple (LCM) of 6754 and 6758 is 22821766.

LCM(6754,6758) = 22821766

LCM of 6754 and 6758

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

LCM of:
and

Least Common Multiple of 6754 and 6758

LCM of 6754 and 6758 is 22821766

Least common multiple can be found by multiplying the highest exponent prime factors of 6754 and 6758. First we will calculate the prime factors of 6754 and 6758.

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 6758


2 6758
31 3379
109 109
1

Prime factors of 6758 are 2, 31,109. Prime factorization of 6758 in exponential form is:

6758 = 21×311×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6754 and 6758.

LCM(6754,6758) = 21×111×311×1091×3071
LCM(6754,6758) = 22821766

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 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1, 2, 31, 62, 109, 218, 3379, 6758

Least Common Multiple of 6754 and 6758 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 6758, than apply into the LCM equation.

GCF(6754,6758) = 2
LCM(6754,6758) = ( 6754 × 6758) / 2
LCM(6754,6758) = 45643532 / 2
LCM(6754,6758) = 22821766

Properties of LCM 6754 and 6758

(i) The LCM of 6758 and 6754 is associative

LCM of 6754 and 6758 = LCM of 6758 and 6754

Related Least Common Multiples of 6754

Related Least Common Multiples of 6758

Frequently Asked Questions on LCM of 6754 and 6758

1. What is the LCM of 6754 and 6758?

Answer: LCM of 6754 and 6758 is 22821766.

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 6758?

Answer: Factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758. There are 8 integers that are factors of 6758. The greatest factor of 6758 is 6758.

4. How to Find the LCM of 6754 and 6758?

Answer:

Least Common Multiple of 6754 and 6758 = 22821766

Step 1: Find the prime factorization of 6754

6754 = 2 x 11 x 307

Step 2: Find the prime factorization of 6758

6758 = 2 x 31 x 109

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

LCM = 22821766 = 2 x 11 x 31 x 109 x 307

Step 4: Therefore, the least common multiple of 6754 and 6758 is 22821766.