Least Common Multiple (LCM) of 168 and 139
The least common multiple (LCM) of 168 and 139 is 23352.
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 168 and 139?
First, calculate the GCD of 168 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 139 = 1 remainder 29 |
| 2 | 139 ÷ 29 = 4 remainder 23 |
| 3 | 29 ÷ 23 = 1 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 126 | 3906 |
| 13 and 163 | 2119 |
| 105 and 45 | 315 |
| 189 and 78 | 4914 |
| 137 and 138 | 18906 |