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 |
|---|---|
| 121 and 100 | 12100 |
| 140 and 84 | 420 |
| 122 and 64 | 3904 |
| 24 and 141 | 1128 |
| 102 and 72 | 1224 |