Least Common Multiple (LCM) of 138 and 161
The least common multiple (LCM) of 138 and 161 is 966.
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 138 and 161?
First, calculate the GCD of 138 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 161 = 0 remainder 138 |
| 2 | 161 ÷ 138 = 1 remainder 23 |
| 3 | 138 ÷ 23 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 75 | 975 |
| 88 and 89 | 7832 |
| 40 and 129 | 5160 |
| 96 and 68 | 1632 |
| 63 and 180 | 1260 |