Least Common Multiple of 6764 and 6770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6764 and 6770 the smallest integer that is 22896140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6764 and 6770 is 22896140.

LCM(6764,6770) = 22896140

LCM of 6764 and 6770

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

LCM of:
and

Least Common Multiple of 6764 and 6770

LCM of 6764 and 6770 is 22896140

Least common multiple can be found by multiplying the highest exponent prime factors of 6764 and 6770. First we will calculate the prime factors of 6764 and 6770.

Prime Factorization of 6764


2 6764
2 3382
19 1691
89 89
1

Prime factors of 6764 are 2, 19,89. Prime factorization of 6764 in exponential form is:

6764 = 22×191×891

Prime Factorization of 6770


2 6770
5 3385
677 677
1

Prime factors of 6770 are 2, 5,677. Prime factorization of 6770 in exponential form is:

6770 = 21×51×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6764 and 6770.

LCM(6764,6770) = 22×51×191×891×6771
LCM(6764,6770) = 22896140

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1, 2, 5, 10, 677, 1354, 3385, 6770

Least Common Multiple of 6764 and 6770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6764 and 6770, than apply into the LCM equation.

GCF(6764,6770) = 2
LCM(6764,6770) = ( 6764 × 6770) / 2
LCM(6764,6770) = 45792280 / 2
LCM(6764,6770) = 22896140

Properties of LCM 6764 and 6770

(i) The LCM of 6770 and 6764 is associative

LCM of 6764 and 6770 = LCM of 6770 and 6764

Related Least Common Multiples of 6764

Related Least Common Multiples of 6770

Frequently Asked Questions on LCM of 6764 and 6770

1. What is the LCM of 6764 and 6770?

Answer: LCM of 6764 and 6770 is 22896140.

2. What are the Factors of 6764?

Answer: Factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764. There are 12 integers that are factors of 6764. The greatest factor of 6764 is 6764.

3. What are the Factors of 6770?

Answer: Factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770. There are 8 integers that are factors of 6770. The greatest factor of 6770 is 6770.

4. How to Find the LCM of 6764 and 6770?

Answer:

Least Common Multiple of 6764 and 6770 = 22896140

Step 1: Find the prime factorization of 6764

6764 = 2 x 2 x 19 x 89

Step 2: Find the prime factorization of 6770

6770 = 2 x 5 x 677

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

LCM = 22896140 = 2 x 2 x 5 x 19 x 89 x 677

Step 4: Therefore, the least common multiple of 6764 and 6770 is 22896140.