Least Common Multiple of 5370 and 5377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5370 and 5377 the smallest integer that is 28874490 that is divisible by both numbers.
Least Common Multiple (LCM) of 5370 and 5377 is 28874490.
LCM(5370,5377) = 28874490
LCM of 5370 and 5377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5370 and 5377 by Prime method
- Least Common Multiple of 5370 and 5377 with GCF Formula
LCM of 5370 and 5377 is 28874490
Least common multiple can be found by multiplying the highest exponent prime factors of 5370 and 5377. First we will calculate the prime factors of 5370 and 5377.
Prime Factorization of 5370
| 2 | 5370 |
| 3 | 2685 |
| 5 | 895 |
| 179 | 179 |
| 1 |
Prime factors of 5370 are 2, 3, 5,179. Prime factorization of 5370 in exponential form is:
5370 = 21×31×51×1791
Prime Factorization of 5377
| 19 | 5377 |
| 283 | 283 |
| 1 |
Prime factors of 5377 are 19,283. Prime factorization of 5377 in exponential form is:
5377 = 191×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 5370 and 5377.
LCM(5370,5377) = 21×31×51×191×1791×2831
LCM(5370,5377) = 28874490
Factors of 5370
List of positive integer factors of 5370 that divides 5370 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1, 19, 283, 5377
Least Common Multiple of 5370 and 5377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5370 and 5377, than apply into the LCM equation.
GCF(5370,5377) = 1
LCM(5370,5377) = ( 5370 × 5377) / 1
LCM(5370,5377) = 28874490 / 1
LCM(5370,5377) = 28874490
Properties of LCM 5370 and 5377
(i) The LCM of 5377 and 5370 is associative
LCM of 5370 and 5377 = LCM of 5377 and 5370
Related Least Common Multiples of 5370
Related Least Common Multiples of 5377
Frequently Asked Questions on LCM of 5370 and 5377
1. What is the LCM of 5370 and 5377?
Answer: LCM of 5370 and 5377 is 28874490.
2. What are the Factors of 5370?
Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.
3. What are the Factors of 5377?
Answer: Factors of 5377 are 1, 19, 283, 5377. There are 4 integers that are factors of 5377. The greatest factor of 5377 is 5377.
4. How to Find the LCM of 5370 and 5377?
Answer:
Least Common Multiple of 5370 and 5377 = 28874490
Step 1: Find the prime factorization of 5370
5370 = 2 x 3 x 5 x 179
Step 2: Find the prime factorization of 5377
5377 = 19 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28874490 = 2 x 3 x 5 x 19 x 179 x 283
Step 4: Therefore, the least common multiple of 5370 and 5377 is 28874490.