Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5130 and 5136 the smallest integer that is 4391280 that is divisible by both numbers.
Least Common Multiple (LCM) of 5130 and 5136 is 4391280.
LCM(5130,5136) = 4391280
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 5130 and 5136. First we will calculate the prime factors of 5130 and 5136.
Prime Factorization of 5130
2 | 5130 |
3 | 2565 |
3 | 855 |
3 | 285 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 5130 are 2, 3, 5,19. Prime factorization of 5130 in exponential form is:
5130 = 21×33×51×191
Prime Factorization of 5136
2 | 5136 |
2 | 2568 |
2 | 1284 |
2 | 642 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 5136 are 2, 3,107. Prime factorization of 5136 in exponential form is:
5136 = 24×31×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5130 and 5136.
LCM(5130,5136) = 24×33×51×191×1071
LCM(5130,5136) = 4391280
Factors of 5130
List of positive integer factors of 5130 that divides 5130 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
Factors of 5136
List of positive integer factors of 5136 that divides 5136 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5130 and 5136, than apply into the LCM equation.
GCF(5130,5136) = 6
LCM(5130,5136) = ( 5130 × 5136) / 6
LCM(5130,5136) = 26347680 / 6
LCM(5130,5136) = 4391280
(i) The LCM of 5136 and 5130 is associative
LCM of 5130 and 5136 = LCM of 5136 and 5130
1. What is the LCM of 5130 and 5136?
Answer: LCM of 5130 and 5136 is 4391280.
2. What are the Factors of 5130?
Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.
3. What are the Factors of 5136?
Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.
4. How to Find the LCM of 5130 and 5136?
Answer:
Least Common Multiple of 5130 and 5136 = 4391280
Step 1: Find the prime factorization of 5130
5130 = 2 x 3 x 3 x 3 x 5 x 19
Step 2: Find the prime factorization of 5136
5136 = 2 x 2 x 2 x 2 x 3 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4391280 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 107
Step 4: Therefore, the least common multiple of 5130 and 5136 is 4391280.