Least Common Multiple of 6750 and 6757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6750 and 6757 the smallest integer that is 45609750 that is divisible by both numbers.

Least Common Multiple (LCM) of 6750 and 6757 is 45609750.

LCM(6750,6757) = 45609750

LCM of 6750 and 6757

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

LCM of:
and

Least Common Multiple of 6750 and 6757

LCM of 6750 and 6757 is 45609750

Least common multiple can be found by multiplying the highest exponent prime factors of 6750 and 6757. First we will calculate the prime factors of 6750 and 6757.

Prime Factorization of 6750


2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 6750 are 2, 3,5. Prime factorization of 6750 in exponential form is:

6750 = 21×33×53

Prime Factorization of 6757


29 6757
233 233
1

Prime factors of 6757 are 29,233. Prime factorization of 6757 in exponential form is:

6757 = 291×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 6750 and 6757.

LCM(6750,6757) = 21×33×53×291×2331
LCM(6750,6757) = 45609750

Factors of 6750

List of positive integer factors of 6750 that divides 6750 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750

Factors of 6757

List of positive integer factors of 6757 that divides 6757 without a remainder.

1, 29, 233, 6757

Least Common Multiple of 6750 and 6757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6750 and 6757, than apply into the LCM equation.

GCF(6750,6757) = 1
LCM(6750,6757) = ( 6750 × 6757) / 1
LCM(6750,6757) = 45609750 / 1
LCM(6750,6757) = 45609750

Properties of LCM 6750 and 6757

(i) The LCM of 6757 and 6750 is associative

LCM of 6750 and 6757 = LCM of 6757 and 6750

Related Least Common Multiples of 6750

Related Least Common Multiples of 6757

Frequently Asked Questions on LCM of 6750 and 6757

1. What is the LCM of 6750 and 6757?

Answer: LCM of 6750 and 6757 is 45609750.

2. What are the Factors of 6750?

Answer: Factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. There are 32 integers that are factors of 6750. The greatest factor of 6750 is 6750.

3. What are the Factors of 6757?

Answer: Factors of 6757 are 1, 29, 233, 6757. There are 4 integers that are factors of 6757. The greatest factor of 6757 is 6757.

4. How to Find the LCM of 6750 and 6757?

Answer:

Least Common Multiple of 6750 and 6757 = 45609750

Step 1: Find the prime factorization of 6750

6750 = 2 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 6757

6757 = 29 x 233

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

LCM = 45609750 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 29 x 233

Step 4: Therefore, the least common multiple of 6750 and 6757 is 45609750.