Least Common Multiple (LCM) of 146 and 158
The least common multiple (LCM) of 146 and 158 is 11534.
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 146 and 158?
First, calculate the GCD of 146 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 158 = 0 remainder 146 |
| 2 | 158 ÷ 146 = 1 remainder 12 |
| 3 | 146 ÷ 12 = 12 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 53 | 10547 |
| 106 and 163 | 17278 |
| 144 and 75 | 3600 |
| 34 and 109 | 3706 |
| 68 and 34 | 68 |