Least Common Multiple (LCM) of 161 and 97
The least common multiple (LCM) of 161 and 97 is 15617.
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 97?
First, calculate the GCD of 161 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 97 = 1 remainder 64 |
| 2 | 97 ÷ 64 = 1 remainder 33 |
| 3 | 64 ÷ 33 = 1 remainder 31 |
| 4 | 33 ÷ 31 = 1 remainder 2 |
| 5 | 31 ÷ 2 = 15 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 140 | 4340 |
| 13 and 148 | 1924 |
| 192 and 148 | 7104 |
| 112 and 51 | 5712 |
| 36 and 199 | 7164 |