Least Common Multiple (LCM) of 148 and 149
The least common multiple (LCM) of 148 and 149 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 148 and 149?
First, calculate the GCD of 148 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 149 = 0 remainder 148 |
| 2 | 149 ÷ 148 = 1 remainder 1 |
| 3 | 148 ÷ 1 = 148 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 188 | 4700 |
| 132 and 110 | 660 |
| 53 and 187 | 9911 |
| 69 and 167 | 11523 |
| 16 and 118 | 944 |