Least Common Multiple (LCM) of 162 and 154
The least common multiple (LCM) of 162 and 154 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 162 and 154?
First, calculate the GCD of 162 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 154 = 1 remainder 8 |
| 2 | 154 ÷ 8 = 19 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 164 | 164 |
| 84 and 108 | 756 |
| 50 and 37 | 1850 |
| 176 and 10 | 880 |
| 165 and 71 | 11715 |