Least Common Multiple of 140 and 150
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 150 the smallest integer that is 2100 that is divisible by both numbers.
Least Common Multiple (LCM) of 140 and 150 is 2100.
LCM(140,150) = 2100
LCM of 140 and 150
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 140 and 150 by Prime method
- Least Common Multiple of 140 and 150 with GCF Formula
LCM of 140 and 150 is 2100
Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 150. First we will calculate the prime factors of 140 and 150.
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 150
| 2 | 150 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:
150 = 21×31×52
Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 150.
LCM(140,150) = 22×31×52×71
LCM(140,150) = 2100
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 150
List of positive integer factors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Least Common Multiple of 140 and 150 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 150, than apply into the LCM equation.
GCF(140,150) = 10
LCM(140,150) = ( 140 × 150) / 10
LCM(140,150) = 21000 / 10
LCM(140,150) = 2100
Properties of LCM 140 and 150
(i) The LCM of 150 and 140 is associative
LCM of 140 and 150 = LCM of 150 and 140
Related Least Common Multiples of 140
Related Least Common Multiples of 150
Frequently Asked Questions on LCM of 140 and 150
1. What is the LCM of 140 and 150?
Answer: LCM of 140 and 150 is 2100.
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 150?
Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.
4. How to Find the LCM of 140 and 150?
Answer:
Least Common Multiple of 140 and 150 = 2100
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2100 = 2 x 2 x 3 x 5 x 5 x 7
Step 4: Therefore, the least common multiple of 140 and 150 is 2100.
