Least Common Multiple of 140 and 141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 140 and 141 the smallest integer that is 19740 that is divisible by both numbers.
Least Common Multiple (LCM) of 140 and 141 is 19740.
LCM(140,141) = 19740
LCM of 140 and 141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 140 and 141 by Prime method
- Least Common Multiple of 140 and 141 with GCF Formula
LCM of 140 and 141 is 19740
Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 141. First we will calculate the prime factors of 140 and 141.
Prime Factorization of 140
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:
140 = 22×51×71
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
Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 141.
LCM(140,141) = 22×31×51×71×471
LCM(140,141) = 19740
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Least Common Multiple of 140 and 141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 141, than apply into the LCM equation.
GCF(140,141) = 1
LCM(140,141) = ( 140 × 141) / 1
LCM(140,141) = 19740 / 1
LCM(140,141) = 19740
Properties of LCM 140 and 141
(i) The LCM of 141 and 140 is associative
LCM of 140 and 141 = LCM of 141 and 140
Related Least Common Multiples of 140
Related Least Common Multiples of 141
Frequently Asked Questions on LCM of 140 and 141
1. What is the LCM of 140 and 141?
Answer: LCM of 140 and 141 is 19740.
2. What are the Factors of 140?
Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.
3. 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.
4. How to Find the LCM of 140 and 141?
Answer:
Least Common Multiple of 140 and 141 = 19740
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 141
141 = 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19740 = 2 x 2 x 3 x 5 x 7 x 47
Step 4: Therefore, the least common multiple of 140 and 141 is 19740.