Least Common Multiple of 2877 and 2885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2877 and 2885 the smallest integer that is 8300145 that is divisible by both numbers.

Least Common Multiple (LCM) of 2877 and 2885 is 8300145.

LCM(2877,2885) = 8300145

LCM of 2877 and 2885

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

LCM of:
and

Least Common Multiple of 2877 and 2885

LCM of 2877 and 2885 is 8300145

Least common multiple can be found by multiplying the highest exponent prime factors of 2877 and 2885. First we will calculate the prime factors of 2877 and 2885.

Prime Factorization of 2877


3 2877
7 959
137 137
1

Prime factors of 2877 are 3, 7,137. Prime factorization of 2877 in exponential form is:

2877 = 31×71×1371

Prime Factorization of 2885


5 2885
577 577
1

Prime factors of 2885 are 5,577. Prime factorization of 2885 in exponential form is:

2885 = 51×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 2877 and 2885.

LCM(2877,2885) = 31×51×71×1371×5771
LCM(2877,2885) = 8300145

Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1, 3, 7, 21, 137, 411, 959, 2877

Factors of 2885

List of positive integer factors of 2885 that divides 2885 without a remainder.

1, 5, 577, 2885

Least Common Multiple of 2877 and 2885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2877 and 2885, than apply into the LCM equation.

GCF(2877,2885) = 1
LCM(2877,2885) = ( 2877 × 2885) / 1
LCM(2877,2885) = 8300145 / 1
LCM(2877,2885) = 8300145

Properties of LCM 2877 and 2885

(i) The LCM of 2885 and 2877 is associative

LCM of 2877 and 2885 = LCM of 2885 and 2877

Related Least Common Multiples of 2877

Related Least Common Multiples of 2885

Frequently Asked Questions on LCM of 2877 and 2885

1. What is the LCM of 2877 and 2885?

Answer: LCM of 2877 and 2885 is 8300145.

2. What are the Factors of 2877?

Answer: Factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877. There are 8 integers that are factors of 2877. The greatest factor of 2877 is 2877.

3. What are the Factors of 2885?

Answer: Factors of 2885 are 1, 5, 577, 2885. There are 4 integers that are factors of 2885. The greatest factor of 2885 is 2885.

4. How to Find the LCM of 2877 and 2885?

Answer:

Least Common Multiple of 2877 and 2885 = 8300145

Step 1: Find the prime factorization of 2877

2877 = 3 x 7 x 137

Step 2: Find the prime factorization of 2885

2885 = 5 x 577

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

LCM = 8300145 = 3 x 5 x 7 x 137 x 577

Step 4: Therefore, the least common multiple of 2877 and 2885 is 8300145.