Least Common Multiple of 6780 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 6780 and 6788 the smallest integer that is 11505660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6780 and 6788 is 11505660.

LCM(6780,6788) = 11505660

LCM of 6780 and 6788

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

LCM of:
and

Least Common Multiple of 6780 and 6788

LCM of 6780 and 6788 is 11505660

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6788. First we will calculate the prime factors of 6780 and 6788.

Prime Factorization of 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2, 3, 5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

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 6780 and 6788.

LCM(6780,6788) = 22×31×51×1131×16971
LCM(6780,6788) = 11505660

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

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 6780 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 6780 and 6788, than apply into the LCM equation.

GCF(6780,6788) = 4
LCM(6780,6788) = ( 6780 × 6788) / 4
LCM(6780,6788) = 46022640 / 4
LCM(6780,6788) = 11505660

Properties of LCM 6780 and 6788

(i) The LCM of 6788 and 6780 is associative

LCM of 6780 and 6788 = LCM of 6788 and 6780

Related Least Common Multiples of 6780

Related Least Common Multiples of 6788

Frequently Asked Questions on LCM of 6780 and 6788

1. What is the LCM of 6780 and 6788?

Answer: LCM of 6780 and 6788 is 11505660.

2. What are the Factors of 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

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 6780 and 6788?

Answer:

Least Common Multiple of 6780 and 6788 = 11505660

Step 1: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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 = 11505660 = 2 x 2 x 3 x 5 x 113 x 1697

Step 4: Therefore, the least common multiple of 6780 and 6788 is 11505660.