Least Common Multiple (LCM) of 139 and 160
The least common multiple (LCM) of 139 and 160 is 22240.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 139 and 160?
First, calculate the GCD of 139 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 160 = 0 remainder 139 |
| 2 | 160 ÷ 139 = 1 remainder 21 |
| 3 | 139 ÷ 21 = 6 remainder 13 |
| 4 | 21 ÷ 13 = 1 remainder 8 |
| 5 | 13 ÷ 8 = 1 remainder 5 |
| 6 | 8 ÷ 5 = 1 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 20 | 1380 |
| 81 and 95 | 7695 |
| 69 and 126 | 2898 |
| 45 and 129 | 1935 |
| 179 and 128 | 22912 |