Least Common Multiple of 145 and 149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 145 and 149 the smallest integer that is 21605 that is divisible by both numbers.
Least Common Multiple (LCM) of 145 and 149 is 21605.
LCM(145,149) = 21605
LCM of 145 and 149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 145 and 149 by Prime method
- Least Common Multiple of 145 and 149 with GCF Formula
LCM of 145 and 149 is 21605
Least common multiple can be found by multiplying the highest exponent prime factors of 145 and 149. First we will calculate the prime factors of 145 and 149.
Prime Factorization of 145
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:
145 = 51×291
Prime Factorization of 149
| 149 | 149 |
| 1 |
Prime factors of 149 are 149. Prime factorization of 149 in exponential form is:
149 = 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 145 and 149.
LCM(145,149) = 51×291×1491
LCM(145,149) = 21605
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Least Common Multiple of 145 and 149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 145 and 149, than apply into the LCM equation.
GCF(145,149) = 1
LCM(145,149) = ( 145 × 149) / 1
LCM(145,149) = 21605 / 1
LCM(145,149) = 21605
Properties of LCM 145 and 149
(i) The LCM of 149 and 145 is associative
LCM of 145 and 149 = LCM of 149 and 145
Related Least Common Multiples of 145
Related Least Common Multiples of 149
Frequently Asked Questions on LCM of 145 and 149
1. What is the LCM of 145 and 149?
Answer: LCM of 145 and 149 is 21605.
2. What are the Factors of 145?
Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.
3. What are the Factors of 149?
Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.
4. How to Find the LCM of 145 and 149?
Answer:
Least Common Multiple of 145 and 149 = 21605
Step 1: Find the prime factorization of 145
145 = 5 x 29
Step 2: Find the prime factorization of 149
149 = 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21605 = 5 x 29 x 149
Step 4: Therefore, the least common multiple of 145 and 149 is 21605.