Least Common Multiple of 371 and 379
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 379 the smallest integer that is 140609 that is divisible by both numbers.
Least Common Multiple (LCM) of 371 and 379 is 140609.
LCM(371,379) = 140609
LCM of 371 and 379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 371 and 379 by Prime method
- Least Common Multiple of 371 and 379 with GCF Formula
LCM of 371 and 379 is 140609
Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 379. First we will calculate the prime factors of 371 and 379.
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 379
| 379 | 379 |
| 1 |
Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:
379 = 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 379.
LCM(371,379) = 71×531×3791
LCM(371,379) = 140609
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1, 379
Least Common Multiple of 371 and 379 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 379, than apply into the LCM equation.
GCF(371,379) = 1
LCM(371,379) = ( 371 × 379) / 1
LCM(371,379) = 140609 / 1
LCM(371,379) = 140609
Properties of LCM 371 and 379
(i) The LCM of 379 and 371 is associative
LCM of 371 and 379 = LCM of 379 and 371
Related Least Common Multiples of 371
Related Least Common Multiples of 379
Frequently Asked Questions on LCM of 371 and 379
1. What is the LCM of 371 and 379?
Answer: LCM of 371 and 379 is 140609.
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 379?
Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.
4. How to Find the LCM of 371 and 379?
Answer:
Least Common Multiple of 371 and 379 = 140609
Step 1: Find the prime factorization of 371
371 = 7 x 53
Step 2: Find the prime factorization of 379
379 = 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 140609 = 7 x 53 x 379
Step 4: Therefore, the least common multiple of 371 and 379 is 140609.