Least Common Multiple of 6749 and 6753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6749 and 6753 the smallest integer that is 45575997 that is divisible by both numbers.

Least Common Multiple (LCM) of 6749 and 6753 is 45575997.

LCM(6749,6753) = 45575997

LCM of 6749 and 6753

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

LCM of:
and

Least Common Multiple of 6749 and 6753

LCM of 6749 and 6753 is 45575997

Least common multiple can be found by multiplying the highest exponent prime factors of 6749 and 6753. First we will calculate the prime factors of 6749 and 6753.

Prime Factorization of 6749


17 6749
397 397
1

Prime factors of 6749 are 17,397. Prime factorization of 6749 in exponential form is:

6749 = 171×3971

Prime Factorization of 6753


3 6753
2251 2251
1

Prime factors of 6753 are 3,2251. Prime factorization of 6753 in exponential form is:

6753 = 31×22511

Now multiplying the highest exponent prime factors to calculate the LCM of 6749 and 6753.

LCM(6749,6753) = 31×171×3971×22511
LCM(6749,6753) = 45575997

Factors of 6749

List of positive integer factors of 6749 that divides 6749 without a remainder.

1, 17, 397, 6749

Factors of 6753

List of positive integer factors of 6753 that divides 6753 without a remainder.

1, 3, 2251, 6753

Least Common Multiple of 6749 and 6753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6749 and 6753, than apply into the LCM equation.

GCF(6749,6753) = 1
LCM(6749,6753) = ( 6749 × 6753) / 1
LCM(6749,6753) = 45575997 / 1
LCM(6749,6753) = 45575997

Properties of LCM 6749 and 6753

(i) The LCM of 6753 and 6749 is associative

LCM of 6749 and 6753 = LCM of 6753 and 6749

Related Least Common Multiples of 6749

Related Least Common Multiples of 6753

Frequently Asked Questions on LCM of 6749 and 6753

1. What is the LCM of 6749 and 6753?

Answer: LCM of 6749 and 6753 is 45575997.

2. What are the Factors of 6749?

Answer: Factors of 6749 are 1, 17, 397, 6749. There are 4 integers that are factors of 6749. The greatest factor of 6749 is 6749.

3. What are the Factors of 6753?

Answer: Factors of 6753 are 1, 3, 2251, 6753. There are 4 integers that are factors of 6753. The greatest factor of 6753 is 6753.

4. How to Find the LCM of 6749 and 6753?

Answer:

Least Common Multiple of 6749 and 6753 = 45575997

Step 1: Find the prime factorization of 6749

6749 = 17 x 397

Step 2: Find the prime factorization of 6753

6753 = 3 x 2251

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

LCM = 45575997 = 3 x 17 x 397 x 2251

Step 4: Therefore, the least common multiple of 6749 and 6753 is 45575997.