Least Common Multiple of 139 and 140
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 139 and 140 the smallest integer that is 19460 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 140 is 19460.
LCM(139,140) = 19460
LCM of 139 and 140
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 140 by Prime method
- Least Common Multiple of 139 and 140 with GCF Formula
LCM of 139 and 140 is 19460
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 140. First we will calculate the prime factors of 139 and 140.
Prime Factorization of 139
| 139 | 139 |
| 1 |
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 140.
LCM(139,140) = 22×51×71×1391
LCM(139,140) = 19460
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
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
Least Common Multiple of 139 and 140 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 140, than apply into the LCM equation.
GCF(139,140) = 1
LCM(139,140) = ( 139 × 140) / 1
LCM(139,140) = 19460 / 1
LCM(139,140) = 19460
Properties of LCM 139 and 140
(i) The LCM of 140 and 139 is associative
LCM of 139 and 140 = LCM of 140 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 140
Frequently Asked Questions on LCM of 139 and 140
1. What is the LCM of 139 and 140?
Answer: LCM of 139 and 140 is 19460.
2. What are the Factors of 139?
Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.
3. 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.
4. How to Find the LCM of 139 and 140?
Answer:
Least Common Multiple of 139 and 140 = 19460
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 140
140 = 2 x 2 x 5 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 = 19460 = 2 x 2 x 5 x 7 x 139
Step 4: Therefore, the least common multiple of 139 and 140 is 19460.
