Least Common Multiple (LCM) of 161 and 57
The least common multiple (LCM) of 161 and 57 is 9177.
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 57?
First, calculate the GCD of 161 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 57 = 2 remainder 47 |
| 2 | 57 ÷ 47 = 1 remainder 10 |
| 3 | 47 ÷ 10 = 4 remainder 7 |
| 4 | 10 ÷ 7 = 1 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 11 | 1034 |
| 119 and 128 | 15232 |
| 124 and 69 | 8556 |
| 166 and 154 | 12782 |
| 103 and 147 | 15141 |