Least Common Multiple of 6763 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 6763 and 6770 the smallest integer that is 45785510 that is divisible by both numbers.

Least Common Multiple (LCM) of 6763 and 6770 is 45785510.

LCM(6763,6770) = 45785510

LCM of 6763 and 6770

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

LCM of:
and

Least Common Multiple of 6763 and 6770

LCM of 6763 and 6770 is 45785510

Least common multiple can be found by multiplying the highest exponent prime factors of 6763 and 6770. First we will calculate the prime factors of 6763 and 6770.

Prime Factorization of 6763


6763 6763
1

Prime factors of 6763 are 6763. Prime factorization of 6763 in exponential form is:

6763 = 67631

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 6763 and 6770.

LCM(6763,6770) = 21×51×6771×67631
LCM(6763,6770) = 45785510

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1, 6763

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 6763 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 6763 and 6770, than apply into the LCM equation.

GCF(6763,6770) = 1
LCM(6763,6770) = ( 6763 × 6770) / 1
LCM(6763,6770) = 45785510 / 1
LCM(6763,6770) = 45785510

Properties of LCM 6763 and 6770

(i) The LCM of 6770 and 6763 is associative

LCM of 6763 and 6770 = LCM of 6770 and 6763

Related Least Common Multiples of 6763

Related Least Common Multiples of 6770

Frequently Asked Questions on LCM of 6763 and 6770

1. What is the LCM of 6763 and 6770?

Answer: LCM of 6763 and 6770 is 45785510.

2. What are the Factors of 6763?

Answer: Factors of 6763 are 1, 6763. There are 2 integers that are factors of 6763. The greatest factor of 6763 is 6763.

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 6763 and 6770?

Answer:

Least Common Multiple of 6763 and 6770 = 45785510

Step 1: Find the prime factorization of 6763

6763 = 6763

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 = 45785510 = 2 x 5 x 677 x 6763

Step 4: Therefore, the least common multiple of 6763 and 6770 is 45785510.