Least Common Multiple of 2685 and 2689

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 2689 the smallest integer that is 7219965 that is divisible by both numbers.

Least Common Multiple (LCM) of 2685 and 2689 is 7219965.

LCM(2685,2689) = 7219965

LCM of 2685 and 2689

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

LCM of:
and

Least Common Multiple of 2685 and 2689

LCM of 2685 and 2689 is 7219965

Least common multiple can be found by multiplying the highest exponent prime factors of 2685 and 2689. First we will calculate the prime factors of 2685 and 2689.

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 2689


2689 2689
1

Prime factors of 2689 are 2689. Prime factorization of 2689 in exponential form is:

2689 = 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 2685 and 2689.

LCM(2685,2689) = 31×51×1791×26891
LCM(2685,2689) = 7219965

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 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1, 2689

Least Common Multiple of 2685 and 2689 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 2689, than apply into the LCM equation.

GCF(2685,2689) = 1
LCM(2685,2689) = ( 2685 × 2689) / 1
LCM(2685,2689) = 7219965 / 1
LCM(2685,2689) = 7219965

Properties of LCM 2685 and 2689

(i) The LCM of 2689 and 2685 is associative

LCM of 2685 and 2689 = LCM of 2689 and 2685

Related Least Common Multiples of 2685

Related Least Common Multiples of 2689

Frequently Asked Questions on LCM of 2685 and 2689

1. What is the LCM of 2685 and 2689?

Answer: LCM of 2685 and 2689 is 7219965.

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 2689?

Answer: Factors of 2689 are 1, 2689. There are 2 integers that are factors of 2689. The greatest factor of 2689 is 2689.

4. How to Find the LCM of 2685 and 2689?

Answer:

Least Common Multiple of 2685 and 2689 = 7219965

Step 1: Find the prime factorization of 2685

2685 = 3 x 5 x 179

Step 2: Find the prime factorization of 2689

2689 = 2689

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

LCM = 7219965 = 3 x 5 x 179 x 2689

Step 4: Therefore, the least common multiple of 2685 and 2689 is 7219965.