Least Common Multiple (LCM) of 162 and 55
The least common multiple (LCM) of 162 and 55 is 8910.
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 55?
First, calculate the GCD of 162 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 55 = 2 remainder 52 |
| 2 | 55 ÷ 52 = 1 remainder 3 |
| 3 | 52 ÷ 3 = 17 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 154 | 1232 |
| 47 and 104 | 4888 |
| 120 and 172 | 5160 |
| 70 and 75 | 1050 |
| 192 and 132 | 2112 |