Least Common Multiple of 7884 and 7889
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7884 and 7889 the smallest integer that is 62196876 that is divisible by both numbers.
Least Common Multiple (LCM) of 7884 and 7889 is 62196876.
LCM(7884,7889) = 62196876
LCM of 7884 and 7889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7884 and 7889 by Prime method
- Least Common Multiple of 7884 and 7889 with GCF Formula
LCM of 7884 and 7889 is 62196876
Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7889. First we will calculate the prime factors of 7884 and 7889.
Prime Factorization of 7884
| 2 | 7884 |
| 2 | 3942 |
| 3 | 1971 |
| 3 | 657 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 7884 are 2, 3,73. Prime factorization of 7884 in exponential form is:
7884 = 22×33×731
Prime Factorization of 7889
| 7 | 7889 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 7889 are 7,23. Prime factorization of 7889 in exponential form is:
7889 = 73×231
Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7889.
LCM(7884,7889) = 22×33×73×231×731
LCM(7884,7889) = 62196876
Factors of 7884
List of positive integer factors of 7884 that divides 7884 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
Factors of 7889
List of positive integer factors of 7889 that divides 7889 without a remainder.
1, 7, 23, 49, 161, 343, 1127, 7889
Least Common Multiple of 7884 and 7889 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7884 and 7889, than apply into the LCM equation.
GCF(7884,7889) = 1
LCM(7884,7889) = ( 7884 × 7889) / 1
LCM(7884,7889) = 62196876 / 1
LCM(7884,7889) = 62196876
Properties of LCM 7884 and 7889
(i) The LCM of 7889 and 7884 is associative
LCM of 7884 and 7889 = LCM of 7889 and 7884
Related Least Common Multiples of 7884
Related Least Common Multiples of 7889
Frequently Asked Questions on LCM of 7884 and 7889
1. What is the LCM of 7884 and 7889?
Answer: LCM of 7884 and 7889 is 62196876.
2. What are the Factors of 7884?
Answer: Factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884. There are 24 integers that are factors of 7884. The greatest factor of 7884 is 7884.
3. What are the Factors of 7889?
Answer: Factors of 7889 are 1, 7, 23, 49, 161, 343, 1127, 7889. There are 8 integers that are factors of 7889. The greatest factor of 7889 is 7889.
4. How to Find the LCM of 7884 and 7889?
Answer:
Least Common Multiple of 7884 and 7889 = 62196876
Step 1: Find the prime factorization of 7884
7884 = 2 x 2 x 3 x 3 x 3 x 73
Step 2: Find the prime factorization of 7889
7889 = 7 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62196876 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 23 x 73
Step 4: Therefore, the least common multiple of 7884 and 7889 is 62196876.