Least Common Multiple (LCM) of 161 and 105
The least common multiple (LCM) of 161 and 105 is 2415.
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 105?
First, calculate the GCD of 161 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 105 = 1 remainder 56 |
| 2 | 105 ÷ 56 = 1 remainder 49 |
| 3 | 56 ÷ 49 = 1 remainder 7 |
| 4 | 49 ÷ 7 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 76 | 2052 |
| 61 and 119 | 7259 |
| 10 and 124 | 620 |
| 157 and 11 | 1727 |
| 79 and 113 | 8927 |