Least Common Multiple (LCM) of 148 and 52
The least common multiple (LCM) of 148 and 52 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 52?
First, calculate the GCD of 148 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 52 = 2 remainder 44 |
| 2 | 52 ÷ 44 = 1 remainder 8 |
| 3 | 44 ÷ 8 = 5 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 131 | 2620 |
| 125 and 28 | 3500 |
| 150 and 72 | 1800 |
| 114 and 66 | 1254 |
| 58 and 158 | 4582 |