Least Common Multiple of 370 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 370 and 377 the smallest integer that is 139490 that is divisible by both numbers.
Least Common Multiple (LCM) of 370 and 377 is 139490.
LCM(370,377) = 139490
LCM of 370 and 377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 370 and 377 by Prime method
- Least Common Multiple of 370 and 377 with GCF Formula
LCM of 370 and 377 is 139490
Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 377. First we will calculate the prime factors of 370 and 377.
Prime Factorization of 370
| 2 | 370 |
| 5 | 185 |
| 37 | 37 |
| 1 |
Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:
370 = 21×51×371
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 370 and 377.
LCM(370,377) = 21×51×131×291×371
LCM(370,377) = 139490
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Least Common Multiple of 370 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 370 and 377, than apply into the LCM equation.
GCF(370,377) = 1
LCM(370,377) = ( 370 × 377) / 1
LCM(370,377) = 139490 / 1
LCM(370,377) = 139490
Properties of LCM 370 and 377
(i) The LCM of 377 and 370 is associative
LCM of 370 and 377 = LCM of 377 and 370
Related Least Common Multiples of 370
Related Least Common Multiples of 377
Frequently Asked Questions on LCM of 370 and 377
1. What is the LCM of 370 and 377?
Answer: LCM of 370 and 377 is 139490.
2. What are the Factors of 370?
Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.
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 370 and 377?
Answer:
Least Common Multiple of 370 and 377 = 139490
Step 1: Find the prime factorization of 370
370 = 2 x 5 x 37
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 = 139490 = 2 x 5 x 13 x 29 x 37
Step 4: Therefore, the least common multiple of 370 and 377 is 139490.