Least Common Multiple of 7195 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 7195 and 7203 the smallest integer that is 51825585 that is divisible by both numbers.
Least Common Multiple (LCM) of 7195 and 7203 is 51825585.
LCM(7195,7203) = 51825585
LCM of 7195 and 7203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7195 and 7203 by Prime method
- Least Common Multiple of 7195 and 7203 with GCF Formula
LCM of 7195 and 7203 is 51825585
Least common multiple can be found by multiplying the highest exponent prime factors of 7195 and 7203. First we will calculate the prime factors of 7195 and 7203.
Prime Factorization of 7195
| 5 | 7195 |
| 1439 | 1439 |
| 1 |
Prime factors of 7195 are 5,1439. Prime factorization of 7195 in exponential form is:
7195 = 51×14391
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 7195 and 7203.
LCM(7195,7203) = 31×51×74×14391
LCM(7195,7203) = 51825585
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1, 5, 1439, 7195
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 7195 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 7195 and 7203, than apply into the LCM equation.
GCF(7195,7203) = 1
LCM(7195,7203) = ( 7195 × 7203) / 1
LCM(7195,7203) = 51825585 / 1
LCM(7195,7203) = 51825585
Properties of LCM 7195 and 7203
(i) The LCM of 7203 and 7195 is associative
LCM of 7195 and 7203 = LCM of 7203 and 7195
Related Least Common Multiples of 7195
Related Least Common Multiples of 7203
Frequently Asked Questions on LCM of 7195 and 7203
1. What is the LCM of 7195 and 7203?
Answer: LCM of 7195 and 7203 is 51825585.
2. What are the Factors of 7195?
Answer: Factors of 7195 are 1, 5, 1439, 7195. There are 4 integers that are factors of 7195. The greatest factor of 7195 is 7195.
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 7195 and 7203?
Answer:
Least Common Multiple of 7195 and 7203 = 51825585
Step 1: Find the prime factorization of 7195
7195 = 5 x 1439
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 = 51825585 = 3 x 5 x 7 x 7 x 7 x 7 x 1439
Step 4: Therefore, the least common multiple of 7195 and 7203 is 51825585.