Least Common Multiple (LCM) of 145 and 148
The least common multiple (LCM) of 145 and 148 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 145 and 148?
First, calculate the GCD of 145 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 148 = 0 remainder 145 |
| 2 | 148 ÷ 145 = 1 remainder 3 |
| 3 | 145 ÷ 3 = 48 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 68 | 5372 |
| 180 and 54 | 540 |
| 63 and 104 | 6552 |
| 120 and 179 | 21480 |
| 27 and 94 | 2538 |