Least Common Multiple of 6779 and 6780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6779 and 6780 the smallest integer that is 45961620 that is divisible by both numbers.

Least Common Multiple (LCM) of 6779 and 6780 is 45961620.

LCM(6779,6780) = 45961620

LCM of 6779 and 6780

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

LCM of:
and

Least Common Multiple of 6779 and 6780

LCM of 6779 and 6780 is 45961620

Least common multiple can be found by multiplying the highest exponent prime factors of 6779 and 6780. First we will calculate the prime factors of 6779 and 6780.

Prime Factorization of 6779


6779 6779
1

Prime factors of 6779 are 6779. Prime factorization of 6779 in exponential form is:

6779 = 67791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6779 and 6780.

LCM(6779,6780) = 22×31×51×1131×67791
LCM(6779,6780) = 45961620

Factors of 6779

List of positive integer factors of 6779 that divides 6779 without a remainder.

1, 6779

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

Least Common Multiple of 6779 and 6780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6779 and 6780, than apply into the LCM equation.

GCF(6779,6780) = 1
LCM(6779,6780) = ( 6779 × 6780) / 1
LCM(6779,6780) = 45961620 / 1
LCM(6779,6780) = 45961620

Properties of LCM 6779 and 6780

(i) The LCM of 6780 and 6779 is associative

LCM of 6779 and 6780 = LCM of 6780 and 6779

Related Least Common Multiples of 6779

Related Least Common Multiples of 6780

Frequently Asked Questions on LCM of 6779 and 6780

1. What is the LCM of 6779 and 6780?

Answer: LCM of 6779 and 6780 is 45961620.

2. What are the Factors of 6779?

Answer: Factors of 6779 are 1, 6779. There are 2 integers that are factors of 6779. The greatest factor of 6779 is 6779.

3. 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.

4. How to Find the LCM of 6779 and 6780?

Answer:

Least Common Multiple of 6779 and 6780 = 45961620

Step 1: Find the prime factorization of 6779

6779 = 6779

Step 2: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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

LCM = 45961620 = 2 x 2 x 3 x 5 x 113 x 6779

Step 4: Therefore, the least common multiple of 6779 and 6780 is 45961620.