Least Common Multiple (LCM) of 161 and 24
The least common multiple (LCM) of 161 and 24 is 3864.
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 24?
First, calculate the GCD of 161 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 24 = 6 remainder 17 |
| 2 | 24 ÷ 17 = 1 remainder 7 |
| 3 | 17 ÷ 7 = 2 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 103 | 10403 |
| 39 and 73 | 2847 |
| 31 and 86 | 2666 |
| 53 and 169 | 8957 |
| 148 and 140 | 5180 |