Least Common Multiple (LCM) of 161 and 169
The least common multiple (LCM) of 161 and 169 is 27209.
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 169?
First, calculate the GCD of 161 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 169 = 0 remainder 161 |
| 2 | 169 ÷ 161 = 1 remainder 8 |
| 3 | 161 ÷ 8 = 20 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 44 | 1320 |
| 106 and 100 | 5300 |
| 107 and 117 | 12519 |
| 69 and 37 | 2553 |
| 161 and 88 | 14168 |