Least Common Multiple (LCM) of 161 and 145
The least common multiple (LCM) of 161 and 145 is 23345.
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 161 and 145?
First, calculate the GCD of 161 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 145 = 1 remainder 16 |
| 2 | 145 ÷ 16 = 9 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 153 | 612 |
| 176 and 195 | 34320 |
| 100 and 129 | 12900 |
| 126 and 135 | 1890 |
| 98 and 54 | 2646 |