Least Common Multiple of 3183 and 3190
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3183 and 3190 the smallest integer that is 10153770 that is divisible by both numbers.
Least Common Multiple (LCM) of 3183 and 3190 is 10153770.
LCM(3183,3190) = 10153770
LCM of 3183 and 3190
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3183 and 3190 by Prime method
- Least Common Multiple of 3183 and 3190 with GCF Formula
LCM of 3183 and 3190 is 10153770
Least common multiple can be found by multiplying the highest exponent prime factors of 3183 and 3190. First we will calculate the prime factors of 3183 and 3190.
Prime Factorization of 3183
| 3 | 3183 |
| 1061 | 1061 |
| 1 |
Prime factors of 3183 are 3,1061. Prime factorization of 3183 in exponential form is:
3183 = 31×10611
Prime Factorization of 3190
| 2 | 3190 |
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 3190 are 2, 5, 11,29. Prime factorization of 3190 in exponential form is:
3190 = 21×51×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 3183 and 3190.
LCM(3183,3190) = 21×31×51×111×291×10611
LCM(3183,3190) = 10153770
Factors of 3183
List of positive integer factors of 3183 that divides 3183 without a remainder.
1, 3, 1061, 3183
Factors of 3190
List of positive integer factors of 3190 that divides 3190 without a remainder.
1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190
Least Common Multiple of 3183 and 3190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3183 and 3190, than apply into the LCM equation.
GCF(3183,3190) = 1
LCM(3183,3190) = ( 3183 × 3190) / 1
LCM(3183,3190) = 10153770 / 1
LCM(3183,3190) = 10153770
Properties of LCM 3183 and 3190
(i) The LCM of 3190 and 3183 is associative
LCM of 3183 and 3190 = LCM of 3190 and 3183
Related Least Common Multiples of 3183
Related Least Common Multiples of 3190
Frequently Asked Questions on LCM of 3183 and 3190
1. What is the LCM of 3183 and 3190?
Answer: LCM of 3183 and 3190 is 10153770.
2. What are the Factors of 3183?
Answer: Factors of 3183 are 1, 3, 1061, 3183. There are 4 integers that are factors of 3183. The greatest factor of 3183 is 3183.
3. What are the Factors of 3190?
Answer: Factors of 3190 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 145, 290, 319, 638, 1595, 3190. There are 16 integers that are factors of 3190. The greatest factor of 3190 is 3190.
4. How to Find the LCM of 3183 and 3190?
Answer:
Least Common Multiple of 3183 and 3190 = 10153770
Step 1: Find the prime factorization of 3183
3183 = 3 x 1061
Step 2: Find the prime factorization of 3190
3190 = 2 x 5 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10153770 = 2 x 3 x 5 x 11 x 29 x 1061
Step 4: Therefore, the least common multiple of 3183 and 3190 is 10153770.