Least Common Multiple (LCM) of 139 and 170
The least common multiple (LCM) of 139 and 170 is 23630.
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 170?
First, calculate the GCD of 139 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 170 = 0 remainder 139 |
| 2 | 170 ÷ 139 = 1 remainder 31 |
| 3 | 139 ÷ 31 = 4 remainder 15 |
| 4 | 31 ÷ 15 = 2 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 104 | 2600 |
| 30 and 176 | 2640 |
| 29 and 20 | 580 |
| 175 and 71 | 12425 |
| 177 and 99 | 5841 |