Least Common Multiple of 374 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 374 and 379 the smallest integer that is 141746 that is divisible by both numbers.
Least Common Multiple (LCM) of 374 and 379 is 141746.
LCM(374,379) = 141746
LCM of 374 and 379
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 374 and 379 by Prime method
- Least Common Multiple of 374 and 379 with GCF Formula
LCM of 374 and 379 is 141746
Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 379. First we will calculate the prime factors of 374 and 379.
Prime Factorization of 374
| 2 | 374 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 374 are 2, 11,17. Prime factorization of 374 in exponential form is:
374 = 21×111×171
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 374 and 379.
LCM(374,379) = 21×111×171×3791
LCM(374,379) = 141746
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1, 379
Least Common Multiple of 374 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 374 and 379, than apply into the LCM equation.
GCF(374,379) = 1
LCM(374,379) = ( 374 × 379) / 1
LCM(374,379) = 141746 / 1
LCM(374,379) = 141746
Properties of LCM 374 and 379
(i) The LCM of 379 and 374 is associative
LCM of 374 and 379 = LCM of 379 and 374
Related Least Common Multiples of 374
Related Least Common Multiples of 379
Frequently Asked Questions on LCM of 374 and 379
1. What is the LCM of 374 and 379?
Answer: LCM of 374 and 379 is 141746.
2. What are the Factors of 374?
Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.
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 374 and 379?
Answer:
Least Common Multiple of 374 and 379 = 141746
Step 1: Find the prime factorization of 374
374 = 2 x 11 x 17
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 = 141746 = 2 x 11 x 17 x 379
Step 4: Therefore, the least common multiple of 374 and 379 is 141746.
