Least Common Multiple of 6756 and 6762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6756 and 6762 the smallest integer that is 7614012 that is divisible by both numbers.

Least Common Multiple (LCM) of 6756 and 6762 is 7614012.

LCM(6756,6762) = 7614012

LCM of 6756 and 6762

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

LCM of:
and

Least Common Multiple of 6756 and 6762

LCM of 6756 and 6762 is 7614012

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6762. First we will calculate the prime factors of 6756 and 6762.

Prime Factorization of 6756


2 6756
2 3378
3 1689
563 563
1

Prime factors of 6756 are 2, 3,563. Prime factorization of 6756 in exponential form is:

6756 = 22×31×5631

Prime Factorization of 6762


2 6762
3 3381
7 1127
7 161
23 23
1

Prime factors of 6762 are 2, 3, 7,23. Prime factorization of 6762 in exponential form is:

6762 = 21×31×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6762.

LCM(6756,6762) = 22×31×72×231×5631
LCM(6756,6762) = 7614012

Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762

Least Common Multiple of 6756 and 6762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6756 and 6762, than apply into the LCM equation.

GCF(6756,6762) = 6
LCM(6756,6762) = ( 6756 × 6762) / 6
LCM(6756,6762) = 45684072 / 6
LCM(6756,6762) = 7614012

Properties of LCM 6756 and 6762

(i) The LCM of 6762 and 6756 is associative

LCM of 6756 and 6762 = LCM of 6762 and 6756

Related Least Common Multiples of 6756

Related Least Common Multiples of 6762

Frequently Asked Questions on LCM of 6756 and 6762

1. What is the LCM of 6756 and 6762?

Answer: LCM of 6756 and 6762 is 7614012.

2. What are the Factors of 6756?

Answer: Factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756. There are 12 integers that are factors of 6756. The greatest factor of 6756 is 6756.

3. What are the Factors of 6762?

Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.

4. How to Find the LCM of 6756 and 6762?

Answer:

Least Common Multiple of 6756 and 6762 = 7614012

Step 1: Find the prime factorization of 6756

6756 = 2 x 2 x 3 x 563

Step 2: Find the prime factorization of 6762

6762 = 2 x 3 x 7 x 7 x 23

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

LCM = 7614012 = 2 x 2 x 3 x 7 x 7 x 23 x 563

Step 4: Therefore, the least common multiple of 6756 and 6762 is 7614012.