Least Common Multiple of 371 and 373
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 373 the smallest integer that is 138383 that is divisible by both numbers.
Least Common Multiple (LCM) of 371 and 373 is 138383.
LCM(371,373) = 138383
LCM of 371 and 373
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 371 and 373 by Prime method
- Least Common Multiple of 371 and 373 with GCF Formula
LCM of 371 and 373 is 138383
Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 373. First we will calculate the prime factors of 371 and 373.
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 373
| 373 | 373 |
| 1 |
Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:
373 = 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 373.
LCM(371,373) = 71×531×3731
LCM(371,373) = 138383
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1, 373
Least Common Multiple of 371 and 373 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 373, than apply into the LCM equation.
GCF(371,373) = 1
LCM(371,373) = ( 371 × 373) / 1
LCM(371,373) = 138383 / 1
LCM(371,373) = 138383
Properties of LCM 371 and 373
(i) The LCM of 373 and 371 is associative
LCM of 371 and 373 = LCM of 373 and 371
Related Least Common Multiples of 371
Related Least Common Multiples of 373
Frequently Asked Questions on LCM of 371 and 373
1. What is the LCM of 371 and 373?
Answer: LCM of 371 and 373 is 138383.
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 373?
Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.
4. How to Find the LCM of 371 and 373?
Answer:
Least Common Multiple of 371 and 373 = 138383
Step 1: Find the prime factorization of 371
371 = 7 x 53
Step 2: Find the prime factorization of 373
373 = 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 138383 = 7 x 53 x 373
Step 4: Therefore, the least common multiple of 371 and 373 is 138383.
