Least Common Multiple of 6746 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 6746 and 6752 the smallest integer that is 22774496 that is divisible by both numbers.

Least Common Multiple (LCM) of 6746 and 6752 is 22774496.

LCM(6746,6752) = 22774496

LCM of 6746 and 6752

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

LCM of:
and

Least Common Multiple of 6746 and 6752

LCM of 6746 and 6752 is 22774496

Least common multiple can be found by multiplying the highest exponent prime factors of 6746 and 6752. First we will calculate the prime factors of 6746 and 6752.

Prime Factorization of 6746


2 6746
3373 3373
1

Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:

6746 = 21×33731

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 6746 and 6752.

LCM(6746,6752) = 25×2111×33731
LCM(6746,6752) = 22774496

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1, 2, 3373, 6746

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 6746 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 6746 and 6752, than apply into the LCM equation.

GCF(6746,6752) = 2
LCM(6746,6752) = ( 6746 × 6752) / 2
LCM(6746,6752) = 45548992 / 2
LCM(6746,6752) = 22774496

Properties of LCM 6746 and 6752

(i) The LCM of 6752 and 6746 is associative

LCM of 6746 and 6752 = LCM of 6752 and 6746

Related Least Common Multiples of 6746

Related Least Common Multiples of 6752

Frequently Asked Questions on LCM of 6746 and 6752

1. What is the LCM of 6746 and 6752?

Answer: LCM of 6746 and 6752 is 22774496.

2. What are the Factors of 6746?

Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.

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 6746 and 6752?

Answer:

Least Common Multiple of 6746 and 6752 = 22774496

Step 1: Find the prime factorization of 6746

6746 = 2 x 3373

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 = 22774496 = 2 x 2 x 2 x 2 x 2 x 211 x 3373

Step 4: Therefore, the least common multiple of 6746 and 6752 is 22774496.