Least Common Multiple (LCM) of 154 and 146
The least common multiple (LCM) of 154 and 146 is 11242.
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 146?
First, calculate the GCD of 154 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 146 = 1 remainder 8 |
| 2 | 146 ÷ 8 = 18 remainder 2 |
| 3 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 117 | 18135 |
| 113 and 13 | 1469 |
| 195 and 154 | 30030 |
| 153 and 53 | 8109 |
| 15 and 159 | 795 |