Least Common Multiple (LCM) of 139 and 162
The least common multiple (LCM) of 139 and 162 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 139 and 162?
First, calculate the GCD of 139 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 162 = 0 remainder 139 |
| 2 | 162 ÷ 139 = 1 remainder 23 |
| 3 | 139 ÷ 23 = 6 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 165 | 1320 |
| 173 and 51 | 8823 |
| 25 and 120 | 600 |
| 99 and 76 | 7524 |
| 65 and 113 | 7345 |