Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2869 and 2876 the smallest integer that is 8251244 that is divisible by both numbers.
Least Common Multiple (LCM) of 2869 and 2876 is 8251244.
LCM(2869,2876) = 8251244
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 2869 and 2876. First we will calculate the prime factors of 2869 and 2876.
Prime Factorization of 2869
19 | 2869 |
151 | 151 |
1 |
Prime factors of 2869 are 19,151. Prime factorization of 2869 in exponential form is:
2869 = 191×1511
Prime Factorization of 2876
2 | 2876 |
2 | 1438 |
719 | 719 |
1 |
Prime factors of 2876 are 2,719. Prime factorization of 2876 in exponential form is:
2876 = 22×7191
Now multiplying the highest exponent prime factors to calculate the LCM of 2869 and 2876.
LCM(2869,2876) = 22×191×1511×7191
LCM(2869,2876) = 8251244
Factors of 2869
List of positive integer factors of 2869 that divides 2869 without a remainder.
1, 19, 151, 2869
Factors of 2876
List of positive integer factors of 2876 that divides 2876 without a remainder.
1, 2, 4, 719, 1438, 2876
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2869 and 2876, than apply into the LCM equation.
GCF(2869,2876) = 1
LCM(2869,2876) = ( 2869 × 2876) / 1
LCM(2869,2876) = 8251244 / 1
LCM(2869,2876) = 8251244
(i) The LCM of 2876 and 2869 is associative
LCM of 2869 and 2876 = LCM of 2876 and 2869
1. What is the LCM of 2869 and 2876?
Answer: LCM of 2869 and 2876 is 8251244.
2. What are the Factors of 2869?
Answer: Factors of 2869 are 1, 19, 151, 2869. There are 4 integers that are factors of 2869. The greatest factor of 2869 is 2869.
3. What are the Factors of 2876?
Answer: Factors of 2876 are 1, 2, 4, 719, 1438, 2876. There are 6 integers that are factors of 2876. The greatest factor of 2876 is 2876.
4. How to Find the LCM of 2869 and 2876?
Answer:
Least Common Multiple of 2869 and 2876 = 8251244
Step 1: Find the prime factorization of 2869
2869 = 19 x 151
Step 2: Find the prime factorization of 2876
2876 = 2 x 2 x 719
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8251244 = 2 x 2 x 19 x 151 x 719
Step 4: Therefore, the least common multiple of 2869 and 2876 is 8251244.