Least Common Multiple (LCM) of 161 and 156
The least common multiple (LCM) of 161 and 156 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 161 and 156?
First, calculate the GCD of 161 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 156 = 1 remainder 5 |
| 2 | 156 ÷ 5 = 31 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 27 | 135 |
| 126 and 102 | 2142 |
| 90 and 37 | 3330 |
| 150 and 151 | 22650 |
| 136 and 114 | 7752 |