Least Common Multiple of 141 and 147
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 147 the smallest integer that is 6909 that is divisible by both numbers.
Least Common Multiple (LCM) of 141 and 147 is 6909.
LCM(141,147) = 6909
LCM of 141 and 147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 141 and 147 by Prime method
- Least Common Multiple of 141 and 147 with GCF Formula
LCM of 141 and 147 is 6909
Least common multiple can be found by multiplying the highest exponent prime factors of 141 and 147. First we will calculate the prime factors of 141 and 147.
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 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
Now multiplying the highest exponent prime factors to calculate the LCM of 141 and 147.
LCM(141,147) = 31×72×471
LCM(141,147) = 6909
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Least Common Multiple of 141 and 147 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 147, than apply into the LCM equation.
GCF(141,147) = 3
LCM(141,147) = ( 141 × 147) / 3
LCM(141,147) = 20727 / 3
LCM(141,147) = 6909
Properties of LCM 141 and 147
(i) The LCM of 147 and 141 is associative
LCM of 141 and 147 = LCM of 147 and 141
Related Least Common Multiples of 141
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 141 and 147
1. What is the LCM of 141 and 147?
Answer: LCM of 141 and 147 is 6909.
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 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
4. How to Find the LCM of 141 and 147?
Answer:
Least Common Multiple of 141 and 147 = 6909
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6909 = 3 x 7 x 7 x 47
Step 4: Therefore, the least common multiple of 141 and 147 is 6909.
