Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5139 and 5143 the smallest integer that is 26429877 that is divisible by both numbers.
Least Common Multiple (LCM) of 5139 and 5143 is 26429877.
LCM(5139,5143) = 26429877
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 5139 and 5143. First we will calculate the prime factors of 5139 and 5143.
Prime Factorization of 5139
3 | 5139 |
3 | 1713 |
571 | 571 |
1 |
Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:
5139 = 32×5711
Prime Factorization of 5143
37 | 5143 |
139 | 139 |
1 |
Prime factors of 5143 are 37,139. Prime factorization of 5143 in exponential form is:
5143 = 371×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 5139 and 5143.
LCM(5139,5143) = 32×371×1391×5711
LCM(5139,5143) = 26429877
Factors of 5139
List of positive integer factors of 5139 that divides 5139 without a remainder.
1, 3, 9, 571, 1713, 5139
Factors of 5143
List of positive integer factors of 5143 that divides 5143 without a remainder.
1, 37, 139, 5143
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5139 and 5143, than apply into the LCM equation.
GCF(5139,5143) = 1
LCM(5139,5143) = ( 5139 × 5143) / 1
LCM(5139,5143) = 26429877 / 1
LCM(5139,5143) = 26429877
(i) The LCM of 5143 and 5139 is associative
LCM of 5139 and 5143 = LCM of 5143 and 5139
1. What is the LCM of 5139 and 5143?
Answer: LCM of 5139 and 5143 is 26429877.
2. What are the Factors of 5139?
Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.
3. What are the Factors of 5143?
Answer: Factors of 5143 are 1, 37, 139, 5143. There are 4 integers that are factors of 5143. The greatest factor of 5143 is 5143.
4. How to Find the LCM of 5139 and 5143?
Answer:
Least Common Multiple of 5139 and 5143 = 26429877
Step 1: Find the prime factorization of 5139
5139 = 3 x 3 x 571
Step 2: Find the prime factorization of 5143
5143 = 37 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26429877 = 3 x 3 x 37 x 139 x 571
Step 4: Therefore, the least common multiple of 5139 and 5143 is 26429877.