Least Common Multiple of 142 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 142 and 149 the smallest integer that is 21158 that is divisible by both numbers.
Least Common Multiple (LCM) of 142 and 149 is 21158.
LCM(142,149) = 21158
LCM of 142 and 149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 142 and 149 by Prime method
- Least Common Multiple of 142 and 149 with GCF Formula
LCM of 142 and 149 is 21158
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 149. First we will calculate the prime factors of 142 and 149.
Prime Factorization of 142
| 2 | 142 |
| 71 | 71 |
| 1 |
Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:
142 = 21×711
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 142 and 149.
LCM(142,149) = 21×711×1491
LCM(142,149) = 21158
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1, 149
Least Common Multiple of 142 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 142 and 149, than apply into the LCM equation.
GCF(142,149) = 1
LCM(142,149) = ( 142 × 149) / 1
LCM(142,149) = 21158 / 1
LCM(142,149) = 21158
Properties of LCM 142 and 149
(i) The LCM of 149 and 142 is associative
LCM of 142 and 149 = LCM of 149 and 142
Related Least Common Multiples of 142
Related Least Common Multiples of 149
Frequently Asked Questions on LCM of 142 and 149
1. What is the LCM of 142 and 149?
Answer: LCM of 142 and 149 is 21158.
2. What are the Factors of 142?
Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.
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 142 and 149?
Answer:
Least Common Multiple of 142 and 149 = 21158
Step 1: Find the prime factorization of 142
142 = 2 x 71
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 = 21158 = 2 x 71 x 149
Step 4: Therefore, the least common multiple of 142 and 149 is 21158.