Least Common Multiple of 374 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 374 and 377 the smallest integer that is 140998 that is divisible by both numbers.
Least Common Multiple (LCM) of 374 and 377 is 140998.
LCM(374,377) = 140998
LCM of 374 and 377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 374 and 377 by Prime method
- Least Common Multiple of 374 and 377 with GCF Formula
LCM of 374 and 377 is 140998
Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 377. First we will calculate the prime factors of 374 and 377.
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 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 374 and 377.
LCM(374,377) = 21×111×131×171×291
LCM(374,377) = 140998
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 377
List of positive integer factors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Least Common Multiple of 374 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 374 and 377, than apply into the LCM equation.
GCF(374,377) = 1
LCM(374,377) = ( 374 × 377) / 1
LCM(374,377) = 140998 / 1
LCM(374,377) = 140998
Properties of LCM 374 and 377
(i) The LCM of 377 and 374 is associative
LCM of 374 and 377 = LCM of 377 and 374
Related Least Common Multiples of 374
Related Least Common Multiples of 377
Frequently Asked Questions on LCM of 374 and 377
1. What is the LCM of 374 and 377?
Answer: LCM of 374 and 377 is 140998.
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 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 374 and 377?
Answer:
Least Common Multiple of 374 and 377 = 140998
Step 1: Find the prime factorization of 374
374 = 2 x 11 x 17
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 = 140998 = 2 x 11 x 13 x 17 x 29
Step 4: Therefore, the least common multiple of 374 and 377 is 140998.
