Least Common Multiple of 34199 and 34203
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34199 and 34203 the smallest integer that is 1169708397 that is divisible by both numbers.
Least Common Multiple (LCM) of 34199 and 34203 is 1169708397.
LCM(34199,34203) = 1169708397
LCM of 34199 and 34203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34199 and 34203 by Prime method
- Least Common Multiple of 34199 and 34203 with GCF Formula
LCM of 34199 and 34203 is 1169708397
Least common multiple can be found by multiplying the highest exponent prime factors of 34199 and 34203. First we will calculate the prime factors of 34199 and 34203.
Prime Factorization of 34199
| 11 | 34199 |
| 3109 | 3109 |
| 1 |
Prime factors of 34199 are 11,3109. Prime factorization of 34199 in exponential form is:
34199 = 111×31091
Prime Factorization of 34203
| 3 | 34203 |
| 13 | 11401 |
| 877 | 877 |
| 1 |
Prime factors of 34203 are 3, 13,877. Prime factorization of 34203 in exponential form is:
34203 = 31×131×8771
Now multiplying the highest exponent prime factors to calculate the LCM of 34199 and 34203.
LCM(34199,34203) = 31×111×131×8771×31091
LCM(34199,34203) = 1169708397
Factors of 34199
List of positive integer factors of 34199 that divides 34199 without a remainder.
1, 11, 3109, 34199
Factors of 34203
List of positive integer factors of 34203 that divides 34203 without a remainder.
1, 3, 13, 39, 877, 2631, 11401, 34203
Least Common Multiple of 34199 and 34203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34199 and 34203, than apply into the LCM equation.
GCF(34199,34203) = 1
LCM(34199,34203) = ( 34199 × 34203) / 1
LCM(34199,34203) = 1169708397 / 1
LCM(34199,34203) = 1169708397
Properties of LCM 34199 and 34203
(i) The LCM of 34203 and 34199 is associative
LCM of 34199 and 34203 = LCM of 34203 and 34199
Related Least Common Multiples of 34199
Related Least Common Multiples of 34203
Frequently Asked Questions on LCM of 34199 and 34203
1. What is the LCM of 34199 and 34203?
Answer: LCM of 34199 and 34203 is 1169708397.
2. What are the Factors of 34199?
Answer: Factors of 34199 are 1, 11, 3109, 34199. There are 4 integers that are factors of 34199. The greatest factor of 34199 is 34199.
3. What are the Factors of 34203?
Answer: Factors of 34203 are 1, 3, 13, 39, 877, 2631, 11401, 34203. There are 8 integers that are factors of 34203. The greatest factor of 34203 is 34203.
4. How to Find the LCM of 34199 and 34203?
Answer:
Least Common Multiple of 34199 and 34203 = 1169708397
Step 1: Find the prime factorization of 34199
34199 = 11 x 3109
Step 2: Find the prime factorization of 34203
34203 = 3 x 13 x 877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1169708397 = 3 x 11 x 13 x 877 x 3109
Step 4: Therefore, the least common multiple of 34199 and 34203 is 1169708397.