Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2892 and 2900 the smallest integer that is 2096700 that is divisible by both numbers.
Least Common Multiple (LCM) of 2892 and 2900 is 2096700.
LCM(2892,2900) = 2096700
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 2892 and 2900. First we will calculate the prime factors of 2892 and 2900.
Prime Factorization of 2892
2 | 2892 |
2 | 1446 |
3 | 723 |
241 | 241 |
1 |
Prime factors of 2892 are 2, 3,241. Prime factorization of 2892 in exponential form is:
2892 = 22×31×2411
Prime Factorization of 2900
2 | 2900 |
2 | 1450 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 2900 are 2, 5,29. Prime factorization of 2900 in exponential form is:
2900 = 22×52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2892 and 2900.
LCM(2892,2900) = 22×31×52×291×2411
LCM(2892,2900) = 2096700
Factors of 2892
List of positive integer factors of 2892 that divides 2892 without a remainder.
1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892
Factors of 2900
List of positive integer factors of 2900 that divides 2900 without a remainder.
1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2892 and 2900, than apply into the LCM equation.
GCF(2892,2900) = 4
LCM(2892,2900) = ( 2892 × 2900) / 4
LCM(2892,2900) = 8386800 / 4
LCM(2892,2900) = 2096700
(i) The LCM of 2900 and 2892 is associative
LCM of 2892 and 2900 = LCM of 2900 and 2892
1. What is the LCM of 2892 and 2900?
Answer: LCM of 2892 and 2900 is 2096700.
2. What are the Factors of 2892?
Answer: Factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892. There are 12 integers that are factors of 2892. The greatest factor of 2892 is 2892.
3. What are the Factors of 2900?
Answer: Factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900. There are 18 integers that are factors of 2900. The greatest factor of 2900 is 2900.
4. How to Find the LCM of 2892 and 2900?
Answer:
Least Common Multiple of 2892 and 2900 = 2096700
Step 1: Find the prime factorization of 2892
2892 = 2 x 2 x 3 x 241
Step 2: Find the prime factorization of 2900
2900 = 2 x 2 x 5 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2096700 = 2 x 2 x 3 x 5 x 5 x 29 x 241
Step 4: Therefore, the least common multiple of 2892 and 2900 is 2096700.