Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5183 and 5190 the smallest integer that is 26899770 that is divisible by both numbers.
Least Common Multiple (LCM) of 5183 and 5190 is 26899770.
LCM(5183,5190) = 26899770
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5183 and 5190. First we will calculate the prime factors of 5183 and 5190.
Prime Factorization of 5183
71 | 5183 |
73 | 73 |
1 |
Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:
5183 = 711×731
Prime Factorization of 5190
2 | 5190 |
3 | 2595 |
5 | 865 |
173 | 173 |
1 |
Prime factors of 5190 are 2, 3, 5,173. Prime factorization of 5190 in exponential form is:
5190 = 21×31×51×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 5183 and 5190.
LCM(5183,5190) = 21×31×51×711×731×1731
LCM(5183,5190) = 26899770
Factors of 5183
List of positive integer factors of 5183 that divides 5183 without a remainder.
1, 71, 73, 5183
Factors of 5190
List of positive integer factors of 5190 that divides 5190 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5183 and 5190, than apply into the LCM equation.
GCF(5183,5190) = 1
LCM(5183,5190) = ( 5183 × 5190) / 1
LCM(5183,5190) = 26899770 / 1
LCM(5183,5190) = 26899770
(i) The LCM of 5190 and 5183 is associative
LCM of 5183 and 5190 = LCM of 5190 and 5183
1. What is the LCM of 5183 and 5190?
Answer: LCM of 5183 and 5190 is 26899770.
2. What are the Factors of 5183?
Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.
3. What are the Factors of 5190?
Answer: Factors of 5190 are 1, 2, 3, 5, 6, 10, 15, 30, 173, 346, 519, 865, 1038, 1730, 2595, 5190. There are 16 integers that are factors of 5190. The greatest factor of 5190 is 5190.
4. How to Find the LCM of 5183 and 5190?
Answer:
Least Common Multiple of 5183 and 5190 = 26899770
Step 1: Find the prime factorization of 5183
5183 = 71 x 73
Step 2: Find the prime factorization of 5190
5190 = 2 x 3 x 5 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26899770 = 2 x 3 x 5 x 71 x 73 x 173
Step 4: Therefore, the least common multiple of 5183 and 5190 is 26899770.