Least Common Multiple (LCM) of 162 and 139
The least common multiple (LCM) of 162 and 139 is 22518.
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 162 and 139?
First, calculate the GCD of 162 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 139 = 1 remainder 23 |
| 2 | 139 ÷ 23 = 6 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 149 | 16986 |
| 108 and 166 | 8964 |
| 43 and 140 | 6020 |
| 42 and 59 | 2478 |
| 129 and 28 | 3612 |