Least Common Multiple (LCM) of 148 and 114
The least common multiple (LCM) of 148 and 114 is 8436.
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 114?
First, calculate the GCD of 148 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 114 = 1 remainder 34 |
| 2 | 114 ÷ 34 = 3 remainder 12 |
| 3 | 34 ÷ 12 = 2 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 67 | 6700 |
| 123 and 98 | 12054 |
| 164 and 167 | 27388 |
| 140 and 130 | 1820 |
| 48 and 133 | 6384 |