Least Common Multiple of 6753 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 6753 and 6758 the smallest integer that is 45636774 that is divisible by both numbers.

Least Common Multiple (LCM) of 6753 and 6758 is 45636774.

LCM(6753,6758) = 45636774

LCM of 6753 and 6758

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

LCM of:
and

Least Common Multiple of 6753 and 6758

LCM of 6753 and 6758 is 45636774

Least common multiple can be found by multiplying the highest exponent prime factors of 6753 and 6758. First we will calculate the prime factors of 6753 and 6758.

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

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 6753 and 6758.

LCM(6753,6758) = 21×31×311×1091×22511
LCM(6753,6758) = 45636774

Factors of 6753

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

1, 3, 2251, 6753

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 6753 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 6753 and 6758, than apply into the LCM equation.

GCF(6753,6758) = 1
LCM(6753,6758) = ( 6753 × 6758) / 1
LCM(6753,6758) = 45636774 / 1
LCM(6753,6758) = 45636774

Properties of LCM 6753 and 6758

(i) The LCM of 6758 and 6753 is associative

LCM of 6753 and 6758 = LCM of 6758 and 6753

Related Least Common Multiples of 6753

Related Least Common Multiples of 6758

Frequently Asked Questions on LCM of 6753 and 6758

1. What is the LCM of 6753 and 6758?

Answer: LCM of 6753 and 6758 is 45636774.

2. 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.

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 6753 and 6758?

Answer:

Least Common Multiple of 6753 and 6758 = 45636774

Step 1: Find the prime factorization of 6753

6753 = 3 x 2251

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 = 45636774 = 2 x 3 x 31 x 109 x 2251

Step 4: Therefore, the least common multiple of 6753 and 6758 is 45636774.