Least Common Multiple of 6194 and 6201
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6194 and 6201 the smallest integer that is 38408994 that is divisible by both numbers.
Least Common Multiple (LCM) of 6194 and 6201 is 38408994.
LCM(6194,6201) = 38408994
LCM of 6194 and 6201
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6194 and 6201 by Prime method
- Least Common Multiple of 6194 and 6201 with GCF Formula
LCM of 6194 and 6201 is 38408994
Least common multiple can be found by multiplying the highest exponent prime factors of 6194 and 6201. First we will calculate the prime factors of 6194 and 6201.
Prime Factorization of 6194
| 2 | 6194 |
| 19 | 3097 |
| 163 | 163 |
| 1 |
Prime factors of 6194 are 2, 19,163. Prime factorization of 6194 in exponential form is:
6194 = 21×191×1631
Prime Factorization of 6201
| 3 | 6201 |
| 3 | 2067 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 6201 are 3, 13,53. Prime factorization of 6201 in exponential form is:
6201 = 32×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6194 and 6201.
LCM(6194,6201) = 21×32×131×191×531×1631
LCM(6194,6201) = 38408994
Factors of 6194
List of positive integer factors of 6194 that divides 6194 without a remainder.
1, 2, 19, 38, 163, 326, 3097, 6194
Factors of 6201
List of positive integer factors of 6201 that divides 6201 without a remainder.
1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201
Least Common Multiple of 6194 and 6201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6194 and 6201, than apply into the LCM equation.
GCF(6194,6201) = 1
LCM(6194,6201) = ( 6194 × 6201) / 1
LCM(6194,6201) = 38408994 / 1
LCM(6194,6201) = 38408994
Properties of LCM 6194 and 6201
(i) The LCM of 6201 and 6194 is associative
LCM of 6194 and 6201 = LCM of 6201 and 6194
Related Least Common Multiples of 6194
Related Least Common Multiples of 6201
Frequently Asked Questions on LCM of 6194 and 6201
1. What is the LCM of 6194 and 6201?
Answer: LCM of 6194 and 6201 is 38408994.
2. What are the Factors of 6194?
Answer: Factors of 6194 are 1, 2, 19, 38, 163, 326, 3097, 6194. There are 8 integers that are factors of 6194. The greatest factor of 6194 is 6194.
3. What are the Factors of 6201?
Answer: Factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201. There are 12 integers that are factors of 6201. The greatest factor of 6201 is 6201.
4. How to Find the LCM of 6194 and 6201?
Answer:
Least Common Multiple of 6194 and 6201 = 38408994
Step 1: Find the prime factorization of 6194
6194 = 2 x 19 x 163
Step 2: Find the prime factorization of 6201
6201 = 3 x 3 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38408994 = 2 x 3 x 3 x 13 x 19 x 53 x 163
Step 4: Therefore, the least common multiple of 6194 and 6201 is 38408994.