Least Common Multiple of 2677 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 2677 and 2685 the smallest integer that is 7187745 that is divisible by both numbers.

Least Common Multiple (LCM) of 2677 and 2685 is 7187745.

LCM(2677,2685) = 7187745

LCM of 2677 and 2685

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

LCM of:
and

Least Common Multiple of 2677 and 2685

LCM of 2677 and 2685 is 7187745

Least common multiple can be found by multiplying the highest exponent prime factors of 2677 and 2685. First we will calculate the prime factors of 2677 and 2685.

Prime Factorization of 2677


2677 2677
1

Prime factors of 2677 are 2677. Prime factorization of 2677 in exponential form is:

2677 = 26771

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 2677 and 2685.

LCM(2677,2685) = 31×51×1791×26771
LCM(2677,2685) = 7187745

Factors of 2677

List of positive integer factors of 2677 that divides 2677 without a remainder.

1, 2677

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 2677 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 2677 and 2685, than apply into the LCM equation.

GCF(2677,2685) = 1
LCM(2677,2685) = ( 2677 × 2685) / 1
LCM(2677,2685) = 7187745 / 1
LCM(2677,2685) = 7187745

Properties of LCM 2677 and 2685

(i) The LCM of 2685 and 2677 is associative

LCM of 2677 and 2685 = LCM of 2685 and 2677

Related Least Common Multiples of 2677

Related Least Common Multiples of 2685

Frequently Asked Questions on LCM of 2677 and 2685

1. What is the LCM of 2677 and 2685?

Answer: LCM of 2677 and 2685 is 7187745.

2. What are the Factors of 2677?

Answer: Factors of 2677 are 1, 2677. There are 2 integers that are factors of 2677. The greatest factor of 2677 is 2677.

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 2677 and 2685?

Answer:

Least Common Multiple of 2677 and 2685 = 7187745

Step 1: Find the prime factorization of 2677

2677 = 2677

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 = 7187745 = 3 x 5 x 179 x 2677

Step 4: Therefore, the least common multiple of 2677 and 2685 is 7187745.