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 2884 the smallest integer that is 1185324 that is divisible by both numbers.
Least Common Multiple (LCM) of 2877 and 2884 is 1185324.
LCM(2877,2884) = 1185324
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2877 and 2884. First we will calculate the prime factors of 2877 and 2884.
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 2884
2 | 2884 |
2 | 1442 |
7 | 721 |
103 | 103 |
1 |
Prime factors of 2884 are 2, 7,103. Prime factorization of 2884 in exponential form is:
2884 = 22×71×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 2877 and 2884.
LCM(2877,2884) = 22×31×71×1031×1371
LCM(2877,2884) = 1185324
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 2884
List of positive integer factors of 2884 that divides 2884 without a remainder.
1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2877 and 2884, than apply into the LCM equation.
GCF(2877,2884) = 7
LCM(2877,2884) = ( 2877 × 2884) / 7
LCM(2877,2884) = 8297268 / 7
LCM(2877,2884) = 1185324
(i) The LCM of 2884 and 2877 is associative
LCM of 2877 and 2884 = LCM of 2884 and 2877
1. What is the LCM of 2877 and 2884?
Answer: LCM of 2877 and 2884 is 1185324.
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 2884?
Answer: Factors of 2884 are 1, 2, 4, 7, 14, 28, 103, 206, 412, 721, 1442, 2884. There are 12 integers that are factors of 2884. The greatest factor of 2884 is 2884.
4. How to Find the LCM of 2877 and 2884?
Answer:
Least Common Multiple of 2877 and 2884 = 1185324
Step 1: Find the prime factorization of 2877
2877 = 3 x 7 x 137
Step 2: Find the prime factorization of 2884
2884 = 2 x 2 x 7 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1185324 = 2 x 2 x 3 x 7 x 103 x 137
Step 4: Therefore, the least common multiple of 2877 and 2884 is 1185324.