Least Common Multiple of 2685 and 2690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2685 and 2690 the smallest integer that is 1444530 that is divisible by both numbers.

Least Common Multiple (LCM) of 2685 and 2690 is 1444530.

LCM(2685,2690) = 1444530

LCM of 2685 and 2690

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

LCM of:
and

Least Common Multiple of 2685 and 2690

LCM of 2685 and 2690 is 1444530

Least common multiple can be found by multiplying the highest exponent prime factors of 2685 and 2690. First we will calculate the prime factors of 2685 and 2690.

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

Prime Factorization of 2690


2 2690
5 1345
269 269
1

Prime factors of 2690 are 2, 5,269. Prime factorization of 2690 in exponential form is:

2690 = 21×51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 2685 and 2690.

LCM(2685,2690) = 21×31×51×1791×2691
LCM(2685,2690) = 1444530

Factors of 2685

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

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

Factors of 2690

List of positive integer factors of 2690 that divides 2690 without a remainder.

1, 2, 5, 10, 269, 538, 1345, 2690

Least Common Multiple of 2685 and 2690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2685 and 2690, than apply into the LCM equation.

GCF(2685,2690) = 5
LCM(2685,2690) = ( 2685 × 2690) / 5
LCM(2685,2690) = 7222650 / 5
LCM(2685,2690) = 1444530

Properties of LCM 2685 and 2690

(i) The LCM of 2690 and 2685 is associative

LCM of 2685 and 2690 = LCM of 2690 and 2685

Related Least Common Multiples of 2685

Related Least Common Multiples of 2690

Frequently Asked Questions on LCM of 2685 and 2690

1. What is the LCM of 2685 and 2690?

Answer: LCM of 2685 and 2690 is 1444530.

2. 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.

3. What are the Factors of 2690?

Answer: Factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690. There are 8 integers that are factors of 2690. The greatest factor of 2690 is 2690.

4. How to Find the LCM of 2685 and 2690?

Answer:

Least Common Multiple of 2685 and 2690 = 1444530

Step 1: Find the prime factorization of 2685

2685 = 3 x 5 x 179

Step 2: Find the prime factorization of 2690

2690 = 2 x 5 x 269

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

LCM = 1444530 = 2 x 3 x 5 x 179 x 269

Step 4: Therefore, the least common multiple of 2685 and 2690 is 1444530.