Least Common Multiple (LCM) of 148 and 145
The least common multiple (LCM) of 148 and 145 is 21460.
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 148 and 145?
First, calculate the GCD of 148 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 145 = 1 remainder 3 |
| 2 | 145 ÷ 3 = 48 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 87 | 9309 |
| 29 and 178 | 5162 |
| 20 and 193 | 3860 |
| 186 and 54 | 1674 |
| 142 and 108 | 7668 |