Least Common Multiple (LCM) of 11 and 148
The least common multiple (LCM) of 11 and 148 is 1628.
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 11 and 148?
First, calculate the GCD of 11 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 11 ÷ 148 = 0 remainder 11 |
| 2 | 148 ÷ 11 = 13 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 153 | 24174 |
| 68 and 13 | 884 |
| 93 and 171 | 5301 |
| 192 and 100 | 4800 |
| 111 and 62 | 6882 |