Least Common Multiple of 146371 and 146377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 146371 and 146377 the smallest integer that is 21425347867 that is divisible by both numbers.
Least Common Multiple (LCM) of 146371 and 146377 is 21425347867.
LCM(146371,146377) = 21425347867
LCM of 146371 and 146377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 146371 and 146377 by Prime method
- Least Common Multiple of 146371 and 146377 with GCF Formula
LCM of 146371 and 146377 is 21425347867
Least common multiple can be found by multiplying the highest exponent prime factors of 146371 and 146377. First we will calculate the prime factors of 146371 and 146377.
Prime Factorization of 146371
| 197 | 146371 |
| 743 | 743 |
| 1 |
Prime factors of 146371 are 197,743. Prime factorization of 146371 in exponential form is:
146371 = 1971×7431
Prime Factorization of 146377
| 7 | 146377 |
| 11 | 20911 |
| 1901 | 1901 |
| 1 |
Prime factors of 146377 are 7, 11,1901. Prime factorization of 146377 in exponential form is:
146377 = 71×111×19011
Now multiplying the highest exponent prime factors to calculate the LCM of 146371 and 146377.
LCM(146371,146377) = 71×111×1971×7431×19011
LCM(146371,146377) = 21425347867
Factors of 146371
List of positive integer factors of 146371 that divides 146371 without a remainder.
1, 197, 743, 146371
Factors of 146377
List of positive integer factors of 146377 that divides 146377 without a remainder.
1, 7, 11, 77, 1901, 13307, 20911, 146377
Least Common Multiple of 146371 and 146377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146371 and 146377, than apply into the LCM equation.
GCF(146371,146377) = 1
LCM(146371,146377) = ( 146371 × 146377) / 1
LCM(146371,146377) = 21425347867 / 1
LCM(146371,146377) = 21425347867
Properties of LCM 146371 and 146377
(i) The LCM of 146377 and 146371 is associative
LCM of 146371 and 146377 = LCM of 146377 and 146371
Related Least Common Multiples of 146371
Related Least Common Multiples of 146377
Frequently Asked Questions on LCM of 146371 and 146377
1. What is the LCM of 146371 and 146377?
Answer: LCM of 146371 and 146377 is 21425347867.
2. What are the Factors of 146371?
Answer: Factors of 146371 are 1, 197, 743, 146371. There are 4 integers that are factors of 146371. The greatest factor of 146371 is 146371.
3. What are the Factors of 146377?
Answer: Factors of 146377 are 1, 7, 11, 77, 1901, 13307, 20911, 146377. There are 8 integers that are factors of 146377. The greatest factor of 146377 is 146377.
4. How to Find the LCM of 146371 and 146377?
Answer:
Least Common Multiple of 146371 and 146377 = 21425347867
Step 1: Find the prime factorization of 146371
146371 = 197 x 743
Step 2: Find the prime factorization of 146377
146377 = 7 x 11 x 1901
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21425347867 = 7 x 11 x 197 x 743 x 1901
Step 4: Therefore, the least common multiple of 146371 and 146377 is 21425347867.