Least Common Multiple of 7201 and 7205
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7201 and 7205 the smallest integer that is 51883205 that is divisible by both numbers.
Least Common Multiple (LCM) of 7201 and 7205 is 51883205.
LCM(7201,7205) = 51883205
LCM of 7201 and 7205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7201 and 7205 by Prime method
- Least Common Multiple of 7201 and 7205 with GCF Formula
LCM of 7201 and 7205 is 51883205
Least common multiple can be found by multiplying the highest exponent prime factors of 7201 and 7205. First we will calculate the prime factors of 7201 and 7205.
Prime Factorization of 7201
| 19 | 7201 |
| 379 | 379 |
| 1 |
Prime factors of 7201 are 19,379. Prime factorization of 7201 in exponential form is:
7201 = 191×3791
Prime Factorization of 7205
| 5 | 7205 |
| 11 | 1441 |
| 131 | 131 |
| 1 |
Prime factors of 7205 are 5, 11,131. Prime factorization of 7205 in exponential form is:
7205 = 51×111×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7205.
LCM(7201,7205) = 51×111×191×1311×3791
LCM(7201,7205) = 51883205
Factors of 7201
List of positive integer factors of 7201 that divides 7201 without a remainder.
1, 19, 379, 7201
Factors of 7205
List of positive integer factors of 7205 that divides 7205 without a remainder.
1, 5, 11, 55, 131, 655, 1441, 7205
Least Common Multiple of 7201 and 7205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7201 and 7205, than apply into the LCM equation.
GCF(7201,7205) = 1
LCM(7201,7205) = ( 7201 × 7205) / 1
LCM(7201,7205) = 51883205 / 1
LCM(7201,7205) = 51883205
Properties of LCM 7201 and 7205
(i) The LCM of 7205 and 7201 is associative
LCM of 7201 and 7205 = LCM of 7205 and 7201
Related Least Common Multiples of 7201
Related Least Common Multiples of 7205
Frequently Asked Questions on LCM of 7201 and 7205
1. What is the LCM of 7201 and 7205?
Answer: LCM of 7201 and 7205 is 51883205.
2. What are the Factors of 7201?
Answer: Factors of 7201 are 1, 19, 379, 7201. There are 4 integers that are factors of 7201. The greatest factor of 7201 is 7201.
3. What are the Factors of 7205?
Answer: Factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205. There are 8 integers that are factors of 7205. The greatest factor of 7205 is 7205.
4. How to Find the LCM of 7201 and 7205?
Answer:
Least Common Multiple of 7201 and 7205 = 51883205
Step 1: Find the prime factorization of 7201
7201 = 19 x 379
Step 2: Find the prime factorization of 7205
7205 = 5 x 11 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51883205 = 5 x 11 x 19 x 131 x 379
Step 4: Therefore, the least common multiple of 7201 and 7205 is 51883205.