Least Common Multiple of 140 and 153
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 153 the smallest integer that is 21420 that is divisible by both numbers.
Least Common Multiple (LCM) of 140 and 153 is 21420.
LCM(140,153) = 21420
LCM of 140 and 153
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 140 and 153 by Prime method
- Least Common Multiple of 140 and 153 with GCF Formula
LCM of 140 and 153 is 21420
Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 153. First we will calculate the prime factors of 140 and 153.
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 153
| 3 | 153 |
| 3 | 51 |
| 17 | 17 |
| 1 |
Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:
153 = 32×171
Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 153.
LCM(140,153) = 22×32×51×71×171
LCM(140,153) = 21420
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 153
List of positive integer factors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Least Common Multiple of 140 and 153 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 153, than apply into the LCM equation.
GCF(140,153) = 1
LCM(140,153) = ( 140 × 153) / 1
LCM(140,153) = 21420 / 1
LCM(140,153) = 21420
Properties of LCM 140 and 153
(i) The LCM of 153 and 140 is associative
LCM of 140 and 153 = LCM of 153 and 140
Related Least Common Multiples of 140
Related Least Common Multiples of 153
Frequently Asked Questions on LCM of 140 and 153
1. What is the LCM of 140 and 153?
Answer: LCM of 140 and 153 is 21420.
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 153?
Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.
4. How to Find the LCM of 140 and 153?
Answer:
Least Common Multiple of 140 and 153 = 21420
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 153
153 = 3 x 3 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21420 = 2 x 2 x 3 x 3 x 5 x 7 x 17
Step 4: Therefore, the least common multiple of 140 and 153 is 21420.
