Least Common Multiple (LCM) of 146 and 159
The least common multiple (LCM) of 146 and 159 is 23214.
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 159?
First, calculate the GCD of 146 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 159 = 0 remainder 146 |
| 2 | 159 ÷ 146 = 1 remainder 13 |
| 3 | 146 ÷ 13 = 11 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 106 | 2014 |
| 130 and 159 | 20670 |
| 135 and 174 | 7830 |
| 50 and 22 | 550 |
| 93 and 41 | 3813 |