Least Common Multiple (LCM) of 116 and 152
The least common multiple (LCM) of 116 and 152 is 4408.
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 116 and 152?
First, calculate the GCD of 116 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 152 = 0 remainder 116 |
| 2 | 152 ÷ 116 = 1 remainder 36 |
| 3 | 116 ÷ 36 = 3 remainder 8 |
| 4 | 36 ÷ 8 = 4 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 99 | 2574 |
| 170 and 196 | 16660 |
| 177 and 102 | 6018 |
| 174 and 96 | 2784 |
| 158 and 38 | 3002 |