Least Common Multiple (LCM) of 148 and 200
The least common multiple (LCM) of 148 and 200 is 7400.
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 200?
First, calculate the GCD of 148 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 200 = 0 remainder 148 |
| 2 | 200 ÷ 148 = 1 remainder 52 |
| 3 | 148 ÷ 52 = 2 remainder 44 |
| 4 | 52 ÷ 44 = 1 remainder 8 |
| 5 | 44 ÷ 8 = 5 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 90 | 6390 |
| 51 and 65 | 3315 |
| 152 and 177 | 26904 |
| 115 and 96 | 11040 |
| 199 and 45 | 8955 |