Least Common Multiple of 6780 and 6785

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 6785 the smallest integer that is 9200460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6780 and 6785 is 9200460.

LCM(6780,6785) = 9200460

LCM of 6780 and 6785

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

LCM of:
and

Least Common Multiple of 6780 and 6785

LCM of 6780 and 6785 is 9200460

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6785. First we will calculate the prime factors of 6780 and 6785.

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 6785


5 6785
23 1357
59 59
1

Prime factors of 6785 are 5, 23,59. Prime factorization of 6785 in exponential form is:

6785 = 51×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 6780 and 6785.

LCM(6780,6785) = 22×31×51×231×591×1131
LCM(6780,6785) = 9200460

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 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1, 5, 23, 59, 115, 295, 1357, 6785

Least Common Multiple of 6780 and 6785 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 6785, than apply into the LCM equation.

GCF(6780,6785) = 5
LCM(6780,6785) = ( 6780 × 6785) / 5
LCM(6780,6785) = 46002300 / 5
LCM(6780,6785) = 9200460

Properties of LCM 6780 and 6785

(i) The LCM of 6785 and 6780 is associative

LCM of 6780 and 6785 = LCM of 6785 and 6780

Related Least Common Multiples of 6780

Related Least Common Multiples of 6785

Frequently Asked Questions on LCM of 6780 and 6785

1. What is the LCM of 6780 and 6785?

Answer: LCM of 6780 and 6785 is 9200460.

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 6785?

Answer: Factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785. There are 8 integers that are factors of 6785. The greatest factor of 6785 is 6785.

4. How to Find the LCM of 6780 and 6785?

Answer:

Least Common Multiple of 6780 and 6785 = 9200460

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 6785

6785 = 5 x 23 x 59

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

LCM = 9200460 = 2 x 2 x 3 x 5 x 23 x 59 x 113

Step 4: Therefore, the least common multiple of 6780 and 6785 is 9200460.