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 |
|---|---|
| 97 and 117 | 11349 |
| 92 and 75 | 6900 |
| 60 and 162 | 1620 |
| 164 and 169 | 27716 |
| 97 and 185 | 17945 |