Least Common Multiple (LCM) of 139 and 165
The least common multiple (LCM) of 139 and 165 is 22935.
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 165?
First, calculate the GCD of 139 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 165 = 0 remainder 139 |
| 2 | 165 ÷ 139 = 1 remainder 26 |
| 3 | 139 ÷ 26 = 5 remainder 9 |
| 4 | 26 ÷ 9 = 2 remainder 8 |
| 5 | 9 ÷ 8 = 1 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 132 | 4620 |
| 52 and 192 | 2496 |
| 190 and 38 | 190 |
| 54 and 119 | 6426 |
| 157 and 55 | 8635 |