Least Common Multiple (LCM) of 148 and 118
The least common multiple (LCM) of 148 and 118 is 8732.
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 118?
First, calculate the GCD of 148 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 118 = 1 remainder 30 |
| 2 | 118 ÷ 30 = 3 remainder 28 |
| 3 | 30 ÷ 28 = 1 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 100 | 19100 |
| 94 and 136 | 6392 |
| 115 and 105 | 2415 |
| 35 and 197 | 6895 |
| 178 and 133 | 23674 |