Least Common Multiple of 8195 and 8201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8195 and 8201 the smallest integer that is 67207195 that is divisible by both numbers.
Least Common Multiple (LCM) of 8195 and 8201 is 67207195.
LCM(8195,8201) = 67207195
LCM of 8195 and 8201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8195 and 8201 by Prime method
- Least Common Multiple of 8195 and 8201 with GCF Formula
LCM of 8195 and 8201 is 67207195
Least common multiple can be found by multiplying the highest exponent prime factors of 8195 and 8201. First we will calculate the prime factors of 8195 and 8201.
Prime Factorization of 8195
| 5 | 8195 |
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 8195 are 5, 11,149. Prime factorization of 8195 in exponential form is:
8195 = 51×111×1491
Prime Factorization of 8201
| 59 | 8201 |
| 139 | 139 |
| 1 |
Prime factors of 8201 are 59,139. Prime factorization of 8201 in exponential form is:
8201 = 591×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 8195 and 8201.
LCM(8195,8201) = 51×111×591×1391×1491
LCM(8195,8201) = 67207195
Factors of 8195
List of positive integer factors of 8195 that divides 8195 without a remainder.
1, 5, 11, 55, 149, 745, 1639, 8195
Factors of 8201
List of positive integer factors of 8201 that divides 8201 without a remainder.
1, 59, 139, 8201
Least Common Multiple of 8195 and 8201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8195 and 8201, than apply into the LCM equation.
GCF(8195,8201) = 1
LCM(8195,8201) = ( 8195 × 8201) / 1
LCM(8195,8201) = 67207195 / 1
LCM(8195,8201) = 67207195
Properties of LCM 8195 and 8201
(i) The LCM of 8201 and 8195 is associative
LCM of 8195 and 8201 = LCM of 8201 and 8195
Related Least Common Multiples of 8195
Related Least Common Multiples of 8201
Frequently Asked Questions on LCM of 8195 and 8201
1. What is the LCM of 8195 and 8201?
Answer: LCM of 8195 and 8201 is 67207195.
2. What are the Factors of 8195?
Answer: Factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195. There are 8 integers that are factors of 8195. The greatest factor of 8195 is 8195.
3. What are the Factors of 8201?
Answer: Factors of 8201 are 1, 59, 139, 8201. There are 4 integers that are factors of 8201. The greatest factor of 8201 is 8201.
4. How to Find the LCM of 8195 and 8201?
Answer:
Least Common Multiple of 8195 and 8201 = 67207195
Step 1: Find the prime factorization of 8195
8195 = 5 x 11 x 149
Step 2: Find the prime factorization of 8201
8201 = 59 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67207195 = 5 x 11 x 59 x 139 x 149
Step 4: Therefore, the least common multiple of 8195 and 8201 is 67207195.