Least Common Multiple (LCM) of 146 and 25
The least common multiple (LCM) of 146 and 25 is 3650.
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 25?
First, calculate the GCD of 146 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 25 = 5 remainder 21 |
| 2 | 25 ÷ 21 = 1 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 151 | 3473 |
| 142 and 77 | 10934 |
| 145 and 180 | 5220 |
| 162 and 66 | 1782 |
| 44 and 181 | 7964 |