Least Common Multiple (LCM) of 139 and 167
The least common multiple (LCM) of 139 and 167 is 23213.
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 167?
First, calculate the GCD of 139 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 167 = 0 remainder 139 |
| 2 | 167 ÷ 139 = 1 remainder 28 |
| 3 | 139 ÷ 28 = 4 remainder 27 |
| 4 | 28 ÷ 27 = 1 remainder 1 |
| 5 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 14 | 2590 |
| 157 and 117 | 18369 |
| 33 and 160 | 5280 |
| 97 and 161 | 15617 |
| 129 and 105 | 4515 |