Least Common Multiple (LCM) of 118 and 148
The least common multiple (LCM) of 118 and 148 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 118 and 148?
First, calculate the GCD of 118 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 148 = 0 remainder 118 |
| 2 | 148 ÷ 118 = 1 remainder 30 |
| 3 | 118 ÷ 30 = 3 remainder 28 |
| 4 | 30 ÷ 28 = 1 remainder 2 |
| 5 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 91 | 2457 |
| 101 and 65 | 6565 |
| 32 and 75 | 2400 |
| 154 and 118 | 9086 |
| 81 and 165 | 4455 |