Least Common Multiple (LCM) of 158 and 52
The least common multiple (LCM) of 158 and 52 is 4108.
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 158 and 52?
First, calculate the GCD of 158 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 52 = 3 remainder 2 |
| 2 | 52 ÷ 2 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 181 | 17738 |
| 117 and 33 | 1287 |
| 148 and 54 | 3996 |
| 135 and 166 | 22410 |
| 108 and 23 | 2484 |