Least Common Multiple (LCM) of 139 and 164
The least common multiple (LCM) of 139 and 164 is 22796.
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 164?
First, calculate the GCD of 139 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 164 = 0 remainder 139 |
| 2 | 164 ÷ 139 = 1 remainder 25 |
| 3 | 139 ÷ 25 = 5 remainder 14 |
| 4 | 25 ÷ 14 = 1 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 167 | 3507 |
| 152 and 118 | 8968 |
| 93 and 122 | 11346 |
| 161 and 128 | 20608 |
| 114 and 34 | 1938 |