Least Common Multiple (LCM) of 161 and 172
The least common multiple (LCM) of 161 and 172 is 27692.
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 172?
First, calculate the GCD of 161 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 172 = 0 remainder 161 |
| 2 | 172 ÷ 161 = 1 remainder 11 |
| 3 | 161 ÷ 11 = 14 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 14 | 1050 |
| 35 and 118 | 4130 |
| 101 and 16 | 1616 |
| 127 and 162 | 20574 |
| 96 and 138 | 2208 |