Least Common Multiple (LCM) of 149 and 148
The least common multiple (LCM) of 149 and 148 is 22052.
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 149 and 148?
First, calculate the GCD of 149 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 148 = 1 remainder 1 |
| 2 | 148 ÷ 1 = 148 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 142 | 14200 |
| 189 and 42 | 378 |
| 35 and 52 | 1820 |
| 109 and 75 | 8175 |
| 171 and 100 | 17100 |