Least Common Multiple of 6750 and 6755

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 6755 the smallest integer that is 9119250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6750 and 6755 is 9119250.

LCM(6750,6755) = 9119250

LCM of 6750 and 6755

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

LCM of:
and

Least Common Multiple of 6750 and 6755

LCM of 6750 and 6755 is 9119250

Least common multiple can be found by multiplying the highest exponent prime factors of 6750 and 6755. First we will calculate the prime factors of 6750 and 6755.

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 6755


5 6755
7 1351
193 193
1

Prime factors of 6755 are 5, 7,193. Prime factorization of 6755 in exponential form is:

6755 = 51×71×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6750 and 6755.

LCM(6750,6755) = 21×33×53×71×1931
LCM(6750,6755) = 9119250

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 6755

List of positive integer factors of 6755 that divides 6755 without a remainder.

1, 5, 7, 35, 193, 965, 1351, 6755

Least Common Multiple of 6750 and 6755 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 6755, than apply into the LCM equation.

GCF(6750,6755) = 5
LCM(6750,6755) = ( 6750 × 6755) / 5
LCM(6750,6755) = 45596250 / 5
LCM(6750,6755) = 9119250

Properties of LCM 6750 and 6755

(i) The LCM of 6755 and 6750 is associative

LCM of 6750 and 6755 = LCM of 6755 and 6750

Related Least Common Multiples of 6750

Related Least Common Multiples of 6755

Frequently Asked Questions on LCM of 6750 and 6755

1. What is the LCM of 6750 and 6755?

Answer: LCM of 6750 and 6755 is 9119250.

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 6755?

Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.

4. How to Find the LCM of 6750 and 6755?

Answer:

Least Common Multiple of 6750 and 6755 = 9119250

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 6755

6755 = 5 x 7 x 193

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

LCM = 9119250 = 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 x 193

Step 4: Therefore, the least common multiple of 6750 and 6755 is 9119250.