Least Common Multiple of 377 and 381
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 381 the smallest integer that is 143637 that is divisible by both numbers.
Least Common Multiple (LCM) of 377 and 381 is 143637.
LCM(377,381) = 143637
LCM of 377 and 381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 377 and 381 by Prime method
- Least Common Multiple of 377 and 381 with GCF Formula
LCM of 377 and 381 is 143637
Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 381. First we will calculate the prime factors of 377 and 381.
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 381
| 3 | 381 |
| 127 | 127 |
| 1 |
Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:
381 = 31×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 377 and 381.
LCM(377,381) = 31×131×291×1271
LCM(377,381) = 143637
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Least Common Multiple of 377 and 381 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 381, than apply into the LCM equation.
GCF(377,381) = 1
LCM(377,381) = ( 377 × 381) / 1
LCM(377,381) = 143637 / 1
LCM(377,381) = 143637
Properties of LCM 377 and 381
(i) The LCM of 381 and 377 is associative
LCM of 377 and 381 = LCM of 381 and 377
Related Least Common Multiples of 377
Related Least Common Multiples of 381
Frequently Asked Questions on LCM of 377 and 381
1. What is the LCM of 377 and 381?
Answer: LCM of 377 and 381 is 143637.
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 381?
Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.
4. How to Find the LCM of 377 and 381?
Answer:
Least Common Multiple of 377 and 381 = 143637
Step 1: Find the prime factorization of 377
377 = 13 x 29
Step 2: Find the prime factorization of 381
381 = 3 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 143637 = 3 x 13 x 29 x 127
Step 4: Therefore, the least common multiple of 377 and 381 is 143637.
