Least Common Multiple of 146377 and 146381
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 146377 and 146381 the smallest integer that is 21426811637 that is divisible by both numbers.
Least Common Multiple (LCM) of 146377 and 146381 is 21426811637.
LCM(146377,146381) = 21426811637
LCM of 146377 and 146381
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 146377 and 146381 by Prime method
- Least Common Multiple of 146377 and 146381 with GCF Formula
LCM of 146377 and 146381 is 21426811637
Least common multiple can be found by multiplying the highest exponent prime factors of 146377 and 146381. First we will calculate the prime factors of 146377 and 146381.
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
Prime Factorization of 146381
| 146381 | 146381 |
| 1 |
Prime factors of 146381 are 146381. Prime factorization of 146381 in exponential form is:
146381 = 1463811
Now multiplying the highest exponent prime factors to calculate the LCM of 146377 and 146381.
LCM(146377,146381) = 71×111×19011×1463811
LCM(146377,146381) = 21426811637
Factors of 146377
List of positive integer factors of 146377 that divides 146377 without a remainder.
1, 7, 11, 77, 1901, 13307, 20911, 146377
Factors of 146381
List of positive integer factors of 146381 that divides 146381 without a remainder.
1, 146381
Least Common Multiple of 146377 and 146381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146377 and 146381, than apply into the LCM equation.
GCF(146377,146381) = 1
LCM(146377,146381) = ( 146377 × 146381) / 1
LCM(146377,146381) = 21426811637 / 1
LCM(146377,146381) = 21426811637
Properties of LCM 146377 and 146381
(i) The LCM of 146381 and 146377 is associative
LCM of 146377 and 146381 = LCM of 146381 and 146377
Related Least Common Multiples of 146377
Related Least Common Multiples of 146381
Frequently Asked Questions on LCM of 146377 and 146381
1. What is the LCM of 146377 and 146381?
Answer: LCM of 146377 and 146381 is 21426811637.
2. 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.
3. What are the Factors of 146381?
Answer: Factors of 146381 are 1, 146381. There are 2 integers that are factors of 146381. The greatest factor of 146381 is 146381.
4. How to Find the LCM of 146377 and 146381?
Answer:
Least Common Multiple of 146377 and 146381 = 21426811637
Step 1: Find the prime factorization of 146377
146377 = 7 x 11 x 1901
Step 2: Find the prime factorization of 146381
146381 = 146381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21426811637 = 7 x 11 x 1901 x 146381
Step 4: Therefore, the least common multiple of 146377 and 146381 is 21426811637.