Least Common Multiple of 15372 and 15377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15372 and 15377 the smallest integer that is 236375244 that is divisible by both numbers.
Least Common Multiple (LCM) of 15372 and 15377 is 236375244.
LCM(15372,15377) = 236375244
LCM of 15372 and 15377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15372 and 15377 by Prime method
- Least Common Multiple of 15372 and 15377 with GCF Formula
LCM of 15372 and 15377 is 236375244
Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15377. First we will calculate the prime factors of 15372 and 15377.
Prime Factorization of 15372
| 2 | 15372 |
| 2 | 7686 |
| 3 | 3843 |
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 15372 are 2, 3, 7,61. Prime factorization of 15372 in exponential form is:
15372 = 22×32×71×611
Prime Factorization of 15377
| 15377 | 15377 |
| 1 |
Prime factors of 15377 are 15377. Prime factorization of 15377 in exponential form is:
15377 = 153771
Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15377.
LCM(15372,15377) = 22×32×71×611×153771
LCM(15372,15377) = 236375244
Factors of 15372
List of positive integer factors of 15372 that divides 15372 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372
Factors of 15377
List of positive integer factors of 15377 that divides 15377 without a remainder.
1, 15377
Least Common Multiple of 15372 and 15377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15372 and 15377, than apply into the LCM equation.
GCF(15372,15377) = 1
LCM(15372,15377) = ( 15372 × 15377) / 1
LCM(15372,15377) = 236375244 / 1
LCM(15372,15377) = 236375244
Properties of LCM 15372 and 15377
(i) The LCM of 15377 and 15372 is associative
LCM of 15372 and 15377 = LCM of 15377 and 15372
Related Least Common Multiples of 15372
Related Least Common Multiples of 15377
Frequently Asked Questions on LCM of 15372 and 15377
1. What is the LCM of 15372 and 15377?
Answer: LCM of 15372 and 15377 is 236375244.
2. What are the Factors of 15372?
Answer: Factors of 15372 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372. There are 36 integers that are factors of 15372. The greatest factor of 15372 is 15372.
3. What are the Factors of 15377?
Answer: Factors of 15377 are 1, 15377. There are 2 integers that are factors of 15377. The greatest factor of 15377 is 15377.
4. How to Find the LCM of 15372 and 15377?
Answer:
Least Common Multiple of 15372 and 15377 = 236375244
Step 1: Find the prime factorization of 15372
15372 = 2 x 2 x 3 x 3 x 7 x 61
Step 2: Find the prime factorization of 15377
15377 = 15377
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 236375244 = 2 x 2 x 3 x 3 x 7 x 61 x 15377
Step 4: Therefore, the least common multiple of 15372 and 15377 is 236375244.