Least Common Multiple of 6745 and 6752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6745 and 6752 the smallest integer that is 45542240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6745 and 6752 is 45542240.

LCM(6745,6752) = 45542240

LCM of 6745 and 6752

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

LCM of:
and

Least Common Multiple of 6745 and 6752

LCM of 6745 and 6752 is 45542240

Least common multiple can be found by multiplying the highest exponent prime factors of 6745 and 6752. First we will calculate the prime factors of 6745 and 6752.

Prime Factorization of 6745


5 6745
19 1349
71 71
1

Prime factors of 6745 are 5, 19,71. Prime factorization of 6745 in exponential form is:

6745 = 51×191×711

Prime Factorization of 6752


2 6752
2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:

6752 = 25×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6745 and 6752.

LCM(6745,6752) = 25×51×191×711×2111
LCM(6745,6752) = 45542240

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1, 5, 19, 71, 95, 355, 1349, 6745

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752

Least Common Multiple of 6745 and 6752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6745 and 6752, than apply into the LCM equation.

GCF(6745,6752) = 1
LCM(6745,6752) = ( 6745 × 6752) / 1
LCM(6745,6752) = 45542240 / 1
LCM(6745,6752) = 45542240

Properties of LCM 6745 and 6752

(i) The LCM of 6752 and 6745 is associative

LCM of 6745 and 6752 = LCM of 6752 and 6745

Related Least Common Multiples of 6745

Related Least Common Multiples of 6752

Frequently Asked Questions on LCM of 6745 and 6752

1. What is the LCM of 6745 and 6752?

Answer: LCM of 6745 and 6752 is 45542240.

2. What are the Factors of 6745?

Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.

3. What are the Factors of 6752?

Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.

4. How to Find the LCM of 6745 and 6752?

Answer:

Least Common Multiple of 6745 and 6752 = 45542240

Step 1: Find the prime factorization of 6745

6745 = 5 x 19 x 71

Step 2: Find the prime factorization of 6752

6752 = 2 x 2 x 2 x 2 x 2 x 211

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

LCM = 45542240 = 2 x 2 x 2 x 2 x 2 x 5 x 19 x 71 x 211

Step 4: Therefore, the least common multiple of 6745 and 6752 is 45542240.