Least Common Multiple of 141 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 141 and 149 the smallest integer that is 21009 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 149 is 21009.
LCM(141,149) = 21009
LCM of 141 and 149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 149 by Prime method
- Least Common Multiple of 141 and 149 with GCF Formula
LCM of 141 and 149 is 21009
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 149. First we will calculate the prime factors of 141 and 149.
Prime Factorization of 141
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:
141 = 31×471
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 141 and 149.
LCM(141,149) = 31×471×1491
LCM(141,149) = 21009
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Least Common Multiple of 141 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 141 and 149, than apply into the LCM equation.
GCF(141,149) = 1
LCM(141,149) = ( 141 × 149) / 1
LCM(141,149) = 21009 / 1
LCM(141,149) = 21009
Properties of LCM 141 and 149
(i) The LCM of 149 and 141 is associative
LCM of 141 and 149 = LCM of 149 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 149
Frequently Asked Questions on LCM of 141 and 149
1. What is the LCM of 141 and 149?
Answer: LCM of 141 and 149 is 21009.
2. What are the Factors of 141?
Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.
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 141 and 149?
Answer:
Least Common Multiple of 141 and 149 = 21009
Step 1: Find the prime factorization of 141
141 = 3 x 47
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 = 21009 = 3 x 47 x 149
Step 4: Therefore, the least common multiple of 141 and 149 is 21009.