Least Common Multiple of 146 and 153
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 146 and 153 the smallest integer that is 22338 that is divisible by both numbers.
Least Common Multiple (LCM) of 146 and 153 is 22338.
LCM(146,153) = 22338
LCM of 146 and 153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 146 and 153 by Prime method
- Least Common Multiple of 146 and 153 with GCF Formula
LCM of 146 and 153 is 22338
Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 153. First we will calculate the prime factors of 146 and 153.
Prime Factorization of 146
| 2 | 146 |
| 73 | 73 |
| 1 |
Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:
146 = 21×731
Prime Factorization of 153
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:
153 = 32×171
Now multiplying the highest exponent prime factors to calculate the LCM of 146 and 153.
LCM(146,153) = 21×32×171×731
LCM(146,153) = 22338
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Least Common Multiple of 146 and 153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 153, than apply into the LCM equation.
GCF(146,153) = 1
LCM(146,153) = ( 146 × 153) / 1
LCM(146,153) = 22338 / 1
LCM(146,153) = 22338
Properties of LCM 146 and 153
(i) The LCM of 153 and 146 is associative
LCM of 146 and 153 = LCM of 153 and 146
Related Least Common Multiples of 146
Related Least Common Multiples of 153
Frequently Asked Questions on LCM of 146 and 153
1. What is the LCM of 146 and 153?
Answer: LCM of 146 and 153 is 22338.
2. What are the Factors of 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
3. What are the Factors of 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
4. How to Find the LCM of 146 and 153?
Answer:
Least Common Multiple of 146 and 153 = 22338
Step 1: Find the prime factorization of 146
146 = 2 x 73
Step 2: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22338 = 2 x 3 x 3 x 17 x 73
Step 4: Therefore, the least common multiple of 146 and 153 is 22338.
