Least Common Multiple (LCM) of 156 and 161
The least common multiple (LCM) of 156 and 161 is 25116.
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 156 and 161?
First, calculate the GCD of 156 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 161 = 0 remainder 156 |
| 2 | 161 ÷ 156 = 1 remainder 5 |
| 3 | 156 ÷ 5 = 31 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 30 | 3030 |
| 168 and 133 | 3192 |
| 137 and 66 | 9042 |
| 79 and 59 | 4661 |
| 87 and 81 | 2349 |