Least Common Multiple of 377 and 385
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 377 and 385 the smallest integer that is 145145 that is divisible by both numbers.
Least Common Multiple (LCM) of 377 and 385 is 145145.
LCM(377,385) = 145145
LCM of 377 and 385
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 377 and 385 by Prime method
- Least Common Multiple of 377 and 385 with GCF Formula
LCM of 377 and 385 is 145145
Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 385. First we will calculate the prime factors of 377 and 385.
Prime Factorization of 377
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:
377 = 131×291
Prime Factorization of 385
| 5 | 385 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 385 are 5, 7,11. Prime factorization of 385 in exponential form is:
385 = 51×71×111
Now multiplying the highest exponent prime factors to calculate the LCM of 377 and 385.
LCM(377,385) = 51×71×111×131×291
LCM(377,385) = 145145
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Least Common Multiple of 377 and 385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 377 and 385, than apply into the LCM equation.
GCF(377,385) = 1
LCM(377,385) = ( 377 × 385) / 1
LCM(377,385) = 145145 / 1
LCM(377,385) = 145145
Properties of LCM 377 and 385
(i) The LCM of 385 and 377 is associative
LCM of 377 and 385 = LCM of 385 and 377
Related Least Common Multiples of 377
Related Least Common Multiples of 385
Frequently Asked Questions on LCM of 377 and 385
1. What is the LCM of 377 and 385?
Answer: LCM of 377 and 385 is 145145.
2. What are the Factors of 377?
Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.
3. What are the Factors of 385?
Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.
4. How to Find the LCM of 377 and 385?
Answer:
Least Common Multiple of 377 and 385 = 145145
Step 1: Find the prime factorization of 377
377 = 13 x 29
Step 2: Find the prime factorization of 385
385 = 5 x 7 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 145145 = 5 x 7 x 11 x 13 x 29
Step 4: Therefore, the least common multiple of 377 and 385 is 145145.