Least Common Multiple (LCM) of 148 and 26
The least common multiple (LCM) of 148 and 26 is 1924.
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 26?
First, calculate the GCD of 148 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 26 = 5 remainder 18 |
| 2 | 26 ÷ 18 = 1 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 155 | 30380 |
| 121 and 49 | 5929 |
| 137 and 49 | 6713 |
| 27 and 14 | 378 |
| 79 and 131 | 10349 |