Least Common Multiple (LCM) of 159 and 148
The least common multiple (LCM) of 159 and 148 is 23532.
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 159 and 148?
First, calculate the GCD of 159 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 148 = 1 remainder 11 |
| 2 | 148 ÷ 11 = 13 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 123 | 2091 |
| 47 and 112 | 5264 |
| 153 and 164 | 25092 |
| 48 and 10 | 240 |
| 60 and 177 | 3540 |