Least Common Multiple of 6780 and 6784

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 6784 the smallest integer that is 11498880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6780 and 6784 is 11498880.

LCM(6780,6784) = 11498880

LCM of 6780 and 6784

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

LCM of:
and

Least Common Multiple of 6780 and 6784

LCM of 6780 and 6784 is 11498880

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6784. First we will calculate the prime factors of 6780 and 6784.

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 6784


2 6784
2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:

6784 = 27×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6780 and 6784.

LCM(6780,6784) = 27×31×51×531×1131
LCM(6780,6784) = 11498880

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 6784

List of positive integer factors of 6784 that divides 6784 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

Least Common Multiple of 6780 and 6784 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 6784, than apply into the LCM equation.

GCF(6780,6784) = 4
LCM(6780,6784) = ( 6780 × 6784) / 4
LCM(6780,6784) = 45995520 / 4
LCM(6780,6784) = 11498880

Properties of LCM 6780 and 6784

(i) The LCM of 6784 and 6780 is associative

LCM of 6780 and 6784 = LCM of 6784 and 6780

Related Least Common Multiples of 6780

Related Least Common Multiples of 6784

Frequently Asked Questions on LCM of 6780 and 6784

1. What is the LCM of 6780 and 6784?

Answer: LCM of 6780 and 6784 is 11498880.

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 6784?

Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.

4. How to Find the LCM of 6780 and 6784?

Answer:

Least Common Multiple of 6780 and 6784 = 11498880

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 6784

6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53

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

LCM = 11498880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 53 x 113

Step 4: Therefore, the least common multiple of 6780 and 6784 is 11498880.