Least Common Multiple (LCM) of 161 and 67
The least common multiple (LCM) of 161 and 67 is 10787.
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 67?
First, calculate the GCD of 161 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 67 = 2 remainder 27 |
| 2 | 67 ÷ 27 = 2 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 43 | 7611 |
| 134 and 120 | 8040 |
| 113 and 138 | 15594 |
| 135 and 75 | 675 |
| 133 and 91 | 1729 |