Least Common Multiple (LCM) of 88 and 162
The least common multiple (LCM) of 88 and 162 is 7128.
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 88 and 162?
First, calculate the GCD of 88 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 162 = 0 remainder 88 |
| 2 | 162 ÷ 88 = 1 remainder 74 |
| 3 | 88 ÷ 74 = 1 remainder 14 |
| 4 | 74 ÷ 14 = 5 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 170 | 10370 |
| 165 and 153 | 8415 |
| 21 and 161 | 483 |
| 17 and 21 | 357 |
| 94 and 127 | 11938 |