Least Common Multiple of 146357 and 146361
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 146357 and 146361 the smallest integer that is 21420956877 that is divisible by both numbers.
Least Common Multiple (LCM) of 146357 and 146361 is 21420956877.
LCM(146357,146361) = 21420956877
LCM of 146357 and 146361
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 146357 and 146361 by Prime method
- Least Common Multiple of 146357 and 146361 with GCF Formula
LCM of 146357 and 146361 is 21420956877
Least common multiple can be found by multiplying the highest exponent prime factors of 146357 and 146361. First we will calculate the prime factors of 146357 and 146361.
Prime Factorization of 146357
| 19 | 146357 |
| 7703 | 7703 |
| 1 |
Prime factors of 146357 are 19,7703. Prime factorization of 146357 in exponential form is:
146357 = 191×77031
Prime Factorization of 146361
| 3 | 146361 |
| 48787 | 48787 |
| 1 |
Prime factors of 146361 are 3,48787. Prime factorization of 146361 in exponential form is:
146361 = 31×487871
Now multiplying the highest exponent prime factors to calculate the LCM of 146357 and 146361.
LCM(146357,146361) = 31×191×77031×487871
LCM(146357,146361) = 21420956877
Factors of 146357
List of positive integer factors of 146357 that divides 146357 without a remainder.
1, 19, 7703, 146357
Factors of 146361
List of positive integer factors of 146361 that divides 146361 without a remainder.
1, 3, 48787, 146361
Least Common Multiple of 146357 and 146361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146357 and 146361, than apply into the LCM equation.
GCF(146357,146361) = 1
LCM(146357,146361) = ( 146357 × 146361) / 1
LCM(146357,146361) = 21420956877 / 1
LCM(146357,146361) = 21420956877
Properties of LCM 146357 and 146361
(i) The LCM of 146361 and 146357 is associative
LCM of 146357 and 146361 = LCM of 146361 and 146357
Related Least Common Multiples of 146357
Related Least Common Multiples of 146361
Frequently Asked Questions on LCM of 146357 and 146361
1. What is the LCM of 146357 and 146361?
Answer: LCM of 146357 and 146361 is 21420956877.
2. What are the Factors of 146357?
Answer: Factors of 146357 are 1, 19, 7703, 146357. There are 4 integers that are factors of 146357. The greatest factor of 146357 is 146357.
3. What are the Factors of 146361?
Answer: Factors of 146361 are 1, 3, 48787, 146361. There are 4 integers that are factors of 146361. The greatest factor of 146361 is 146361.
4. How to Find the LCM of 146357 and 146361?
Answer:
Least Common Multiple of 146357 and 146361 = 21420956877
Step 1: Find the prime factorization of 146357
146357 = 19 x 7703
Step 2: Find the prime factorization of 146361
146361 = 3 x 48787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21420956877 = 3 x 19 x 7703 x 48787
Step 4: Therefore, the least common multiple of 146357 and 146361 is 21420956877.