Least Common Multiple of 7201 and 7203
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 7203 the smallest integer that is 51868803 that is divisible by both numbers.
Least Common Multiple (LCM) of 7201 and 7203 is 51868803.
LCM(7201,7203) = 51868803
LCM of 7201 and 7203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7201 and 7203 by Prime method
- Least Common Multiple of 7201 and 7203 with GCF Formula
LCM of 7201 and 7203 is 51868803
Least common multiple can be found by multiplying the highest exponent prime factors of 7201 and 7203. First we will calculate the prime factors of 7201 and 7203.
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 7203
| 3 | 7203 |
| 7 | 2401 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 7203 are 3,7. Prime factorization of 7203 in exponential form is:
7203 = 31×74
Now multiplying the highest exponent prime factors to calculate the LCM of 7201 and 7203.
LCM(7201,7203) = 31×74×191×3791
LCM(7201,7203) = 51868803
Factors of 7201
List of positive integer factors of 7201 that divides 7201 without a remainder.
1, 19, 379, 7201
Factors of 7203
List of positive integer factors of 7203 that divides 7203 without a remainder.
1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203
Least Common Multiple of 7201 and 7203 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 7203, than apply into the LCM equation.
GCF(7201,7203) = 1
LCM(7201,7203) = ( 7201 × 7203) / 1
LCM(7201,7203) = 51868803 / 1
LCM(7201,7203) = 51868803
Properties of LCM 7201 and 7203
(i) The LCM of 7203 and 7201 is associative
LCM of 7201 and 7203 = LCM of 7203 and 7201
Related Least Common Multiples of 7201
Related Least Common Multiples of 7203
Frequently Asked Questions on LCM of 7201 and 7203
1. What is the LCM of 7201 and 7203?
Answer: LCM of 7201 and 7203 is 51868803.
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 7203?
Answer: Factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203. There are 10 integers that are factors of 7203. The greatest factor of 7203 is 7203.
4. How to Find the LCM of 7201 and 7203?
Answer:
Least Common Multiple of 7201 and 7203 = 51868803
Step 1: Find the prime factorization of 7201
7201 = 19 x 379
Step 2: Find the prime factorization of 7203
7203 = 3 x 7 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51868803 = 3 x 7 x 7 x 7 x 7 x 19 x 379
Step 4: Therefore, the least common multiple of 7201 and 7203 is 51868803.