Least Common Multiple (LCM) of 162 and 157
The least common multiple (LCM) of 162 and 157 is 25434.
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 162 and 157?
First, calculate the GCD of 162 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 157 = 1 remainder 5 |
| 2 | 157 ÷ 5 = 31 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 85 | 10880 |
| 87 and 94 | 8178 |
| 132 and 22 | 132 |
| 89 and 162 | 14418 |
| 87 and 28 | 2436 |