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 |
|---|---|
| 180 and 75 | 900 |
| 63 and 171 | 1197 |
| 164 and 55 | 9020 |
| 70 and 120 | 840 |
| 49 and 56 | 392 |