Least Common Multiple of 6783 and 6788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6783 and 6788 the smallest integer that is 46043004 that is divisible by both numbers.

Least Common Multiple (LCM) of 6783 and 6788 is 46043004.

LCM(6783,6788) = 46043004

LCM of 6783 and 6788

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

LCM of:
and

Least Common Multiple of 6783 and 6788

LCM of 6783 and 6788 is 46043004

Least common multiple can be found by multiplying the highest exponent prime factors of 6783 and 6788. First we will calculate the prime factors of 6783 and 6788.

Prime Factorization of 6783


3 6783
7 2261
17 323
19 19
1

Prime factors of 6783 are 3, 7, 17,19. Prime factorization of 6783 in exponential form is:

6783 = 31×71×171×191

Prime Factorization of 6788


2 6788
2 3394
1697 1697
1

Prime factors of 6788 are 2,1697. Prime factorization of 6788 in exponential form is:

6788 = 22×16971

Now multiplying the highest exponent prime factors to calculate the LCM of 6783 and 6788.

LCM(6783,6788) = 22×31×71×171×191×16971
LCM(6783,6788) = 46043004

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783

Factors of 6788

List of positive integer factors of 6788 that divides 6788 without a remainder.

1, 2, 4, 1697, 3394, 6788

Least Common Multiple of 6783 and 6788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6783 and 6788, than apply into the LCM equation.

GCF(6783,6788) = 1
LCM(6783,6788) = ( 6783 × 6788) / 1
LCM(6783,6788) = 46043004 / 1
LCM(6783,6788) = 46043004

Properties of LCM 6783 and 6788

(i) The LCM of 6788 and 6783 is associative

LCM of 6783 and 6788 = LCM of 6788 and 6783

Related Least Common Multiples of 6783

Related Least Common Multiples of 6788

Frequently Asked Questions on LCM of 6783 and 6788

1. What is the LCM of 6783 and 6788?

Answer: LCM of 6783 and 6788 is 46043004.

2. What are the Factors of 6783?

Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.

3. What are the Factors of 6788?

Answer: Factors of 6788 are 1, 2, 4, 1697, 3394, 6788. There are 6 integers that are factors of 6788. The greatest factor of 6788 is 6788.

4. How to Find the LCM of 6783 and 6788?

Answer:

Least Common Multiple of 6783 and 6788 = 46043004

Step 1: Find the prime factorization of 6783

6783 = 3 x 7 x 17 x 19

Step 2: Find the prime factorization of 6788

6788 = 2 x 2 x 1697

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

LCM = 46043004 = 2 x 2 x 3 x 7 x 17 x 19 x 1697

Step 4: Therefore, the least common multiple of 6783 and 6788 is 46043004.