Least Common Multiple of 2678 and 2685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2678 and 2685 the smallest integer that is 7190430 that is divisible by both numbers.

Least Common Multiple (LCM) of 2678 and 2685 is 7190430.

LCM(2678,2685) = 7190430

LCM of 2678 and 2685

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

LCM of:
and

Least Common Multiple of 2678 and 2685

LCM of 2678 and 2685 is 7190430

Least common multiple can be found by multiplying the highest exponent prime factors of 2678 and 2685. First we will calculate the prime factors of 2678 and 2685.

Prime Factorization of 2678


2 2678
13 1339
103 103
1

Prime factors of 2678 are 2, 13,103. Prime factorization of 2678 in exponential form is:

2678 = 21×131×1031

Prime Factorization of 2685


3 2685
5 895
179 179
1

Prime factors of 2685 are 3, 5,179. Prime factorization of 2685 in exponential form is:

2685 = 31×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 2678 and 2685.

LCM(2678,2685) = 21×31×51×131×1031×1791
LCM(2678,2685) = 7190430

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339, 2678

Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1, 3, 5, 15, 179, 537, 895, 2685

Least Common Multiple of 2678 and 2685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2678 and 2685, than apply into the LCM equation.

GCF(2678,2685) = 1
LCM(2678,2685) = ( 2678 × 2685) / 1
LCM(2678,2685) = 7190430 / 1
LCM(2678,2685) = 7190430

Properties of LCM 2678 and 2685

(i) The LCM of 2685 and 2678 is associative

LCM of 2678 and 2685 = LCM of 2685 and 2678

Related Least Common Multiples of 2678

Related Least Common Multiples of 2685

Frequently Asked Questions on LCM of 2678 and 2685

1. What is the LCM of 2678 and 2685?

Answer: LCM of 2678 and 2685 is 7190430.

2. What are the Factors of 2678?

Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.

3. What are the Factors of 2685?

Answer: Factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685. There are 8 integers that are factors of 2685. The greatest factor of 2685 is 2685.

4. How to Find the LCM of 2678 and 2685?

Answer:

Least Common Multiple of 2678 and 2685 = 7190430

Step 1: Find the prime factorization of 2678

2678 = 2 x 13 x 103

Step 2: Find the prime factorization of 2685

2685 = 3 x 5 x 179

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

LCM = 7190430 = 2 x 3 x 5 x 13 x 103 x 179

Step 4: Therefore, the least common multiple of 2678 and 2685 is 7190430.