Least Common Multiple (LCM) of 154 and 162
The least common multiple (LCM) of 154 and 162 is 12474.
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 154 and 162?
First, calculate the GCD of 154 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 162 = 0 remainder 154 |
| 2 | 162 ÷ 154 = 1 remainder 8 |
| 3 | 154 ÷ 8 = 19 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 23 | 483 |
| 165 and 140 | 4620 |
| 129 and 86 | 258 |
| 26 and 112 | 1456 |
| 77 and 71 | 5467 |