Least Common Multiple of 34195 and 34202
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 34195 and 34202 the smallest integer that is 167076770 that is divisible by both numbers.
Least Common Multiple (LCM) of 34195 and 34202 is 167076770.
LCM(34195,34202) = 167076770
LCM of 34195 and 34202
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 34195 and 34202 by Prime method
- Least Common Multiple of 34195 and 34202 with GCF Formula
LCM of 34195 and 34202 is 167076770
Least common multiple can be found by multiplying the highest exponent prime factors of 34195 and 34202. First we will calculate the prime factors of 34195 and 34202.
Prime Factorization of 34195
| 5 | 34195 |
| 7 | 6839 |
| 977 | 977 |
| 1 |
Prime factors of 34195 are 5, 7,977. Prime factorization of 34195 in exponential form is:
34195 = 51×71×9771
Prime Factorization of 34202
| 2 | 34202 |
| 7 | 17101 |
| 7 | 2443 |
| 349 | 349 |
| 1 |
Prime factors of 34202 are 2, 7,349. Prime factorization of 34202 in exponential form is:
34202 = 21×72×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 34195 and 34202.
LCM(34195,34202) = 21×51×72×3491×9771
LCM(34195,34202) = 167076770
Factors of 34195
List of positive integer factors of 34195 that divides 34195 without a remainder.
1, 5, 7, 35, 977, 4885, 6839, 34195
Factors of 34202
List of positive integer factors of 34202 that divides 34202 without a remainder.
1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202
Least Common Multiple of 34195 and 34202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34195 and 34202, than apply into the LCM equation.
GCF(34195,34202) = 7
LCM(34195,34202) = ( 34195 × 34202) / 7
LCM(34195,34202) = 1169537390 / 7
LCM(34195,34202) = 167076770
Properties of LCM 34195 and 34202
(i) The LCM of 34202 and 34195 is associative
LCM of 34195 and 34202 = LCM of 34202 and 34195
Related Least Common Multiples of 34195
Related Least Common Multiples of 34202
Frequently Asked Questions on LCM of 34195 and 34202
1. What is the LCM of 34195 and 34202?
Answer: LCM of 34195 and 34202 is 167076770.
2. What are the Factors of 34195?
Answer: Factors of 34195 are 1, 5, 7, 35, 977, 4885, 6839, 34195. There are 8 integers that are factors of 34195. The greatest factor of 34195 is 34195.
3. What are the Factors of 34202?
Answer: Factors of 34202 are 1, 2, 7, 14, 49, 98, 349, 698, 2443, 4886, 17101, 34202. There are 12 integers that are factors of 34202. The greatest factor of 34202 is 34202.
4. How to Find the LCM of 34195 and 34202?
Answer:
Least Common Multiple of 34195 and 34202 = 167076770
Step 1: Find the prime factorization of 34195
34195 = 5 x 7 x 977
Step 2: Find the prime factorization of 34202
34202 = 2 x 7 x 7 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 167076770 = 2 x 5 x 7 x 7 x 349 x 977
Step 4: Therefore, the least common multiple of 34195 and 34202 is 167076770.