Least Common Multiple of 5621 and 5625
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5621 and 5625 the smallest integer that is 31618125 that is divisible by both numbers.
Least Common Multiple (LCM) of 5621 and 5625 is 31618125.
LCM(5621,5625) = 31618125
LCM of 5621 and 5625
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5621 and 5625 by Prime method
- Least Common Multiple of 5621 and 5625 with GCF Formula
LCM of 5621 and 5625 is 31618125
Least common multiple can be found by multiplying the highest exponent prime factors of 5621 and 5625. First we will calculate the prime factors of 5621 and 5625.
Prime Factorization of 5621
| 7 | 5621 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 5621 are 7, 11,73. Prime factorization of 5621 in exponential form is:
5621 = 71×111×731
Prime Factorization of 5625
| 3 | 5625 |
| 3 | 1875 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 5625 are 3,5. Prime factorization of 5625 in exponential form is:
5625 = 32×54
Now multiplying the highest exponent prime factors to calculate the LCM of 5621 and 5625.
LCM(5621,5625) = 32×54×71×111×731
LCM(5621,5625) = 31618125
Factors of 5621
List of positive integer factors of 5621 that divides 5621 without a remainder.
1, 7, 11, 73, 77, 511, 803, 5621
Factors of 5625
List of positive integer factors of 5625 that divides 5625 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
Least Common Multiple of 5621 and 5625 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5621 and 5625, than apply into the LCM equation.
GCF(5621,5625) = 1
LCM(5621,5625) = ( 5621 × 5625) / 1
LCM(5621,5625) = 31618125 / 1
LCM(5621,5625) = 31618125
Properties of LCM 5621 and 5625
(i) The LCM of 5625 and 5621 is associative
LCM of 5621 and 5625 = LCM of 5625 and 5621
Related Least Common Multiples of 5621
Related Least Common Multiples of 5625
Frequently Asked Questions on LCM of 5621 and 5625
1. What is the LCM of 5621 and 5625?
Answer: LCM of 5621 and 5625 is 31618125.
2. What are the Factors of 5621?
Answer: Factors of 5621 are 1, 7, 11, 73, 77, 511, 803, 5621. There are 8 integers that are factors of 5621. The greatest factor of 5621 is 5621.
3. What are the Factors of 5625?
Answer: Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. There are 15 integers that are factors of 5625. The greatest factor of 5625 is 5625.
4. How to Find the LCM of 5621 and 5625?
Answer:
Least Common Multiple of 5621 and 5625 = 31618125
Step 1: Find the prime factorization of 5621
5621 = 7 x 11 x 73
Step 2: Find the prime factorization of 5625
5625 = 3 x 3 x 5 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31618125 = 3 x 3 x 5 x 5 x 5 x 5 x 7 x 11 x 73
Step 4: Therefore, the least common multiple of 5621 and 5625 is 31618125.