Least Common Multiple of 371 and 377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 371 and 377 the smallest integer that is 139867 that is divisible by both numbers.
Least Common Multiple (LCM) of 371 and 377 is 139867.
LCM(371,377) = 139867
LCM of 371 and 377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 371 and 377 by Prime method
- Least Common Multiple of 371 and 377 with GCF Formula
LCM of 371 and 377 is 139867
Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 377. First we will calculate the prime factors of 371 and 377.
Prime Factorization of 371
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 371 are 7,53. Prime factorization of 371 in exponential form is:
371 = 71×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 377.
LCM(371,377) = 71×131×291×531
LCM(371,377) = 139867
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Least Common Multiple of 371 and 377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 377, than apply into the LCM equation.
GCF(371,377) = 1
LCM(371,377) = ( 371 × 377) / 1
LCM(371,377) = 139867 / 1
LCM(371,377) = 139867
Properties of LCM 371 and 377
(i) The LCM of 377 and 371 is associative
LCM of 371 and 377 = LCM of 377 and 371
Related Least Common Multiples of 371
Related Least Common Multiples of 377
Frequently Asked Questions on LCM of 371 and 377
1. What is the LCM of 371 and 377?
Answer: LCM of 371 and 377 is 139867.
2. What are the Factors of 371?
Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.
3. 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.
4. How to Find the LCM of 371 and 377?
Answer:
Least Common Multiple of 371 and 377 = 139867
Step 1: Find the prime factorization of 371
371 = 7 x 53
Step 2: Find the prime factorization of 377
377 = 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 139867 = 7 x 13 x 29 x 53
Step 4: Therefore, the least common multiple of 371 and 377 is 139867.