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 |
|---|---|
| 159 and 154 | 24486 |
| 183 and 146 | 26718 |
| 140 and 24 | 840 |
| 86 and 29 | 2494 |
| 166 and 154 | 12782 |