Least Common Multiple (LCM) of 116 and 52
The least common multiple (LCM) of 116 and 52 is 1508.
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 52?
First, calculate the GCD of 116 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 52 = 2 remainder 12 |
| 2 | 52 ÷ 12 = 4 remainder 4 |
| 3 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 169 | 29913 |
| 102 and 106 | 5406 |
| 30 and 120 | 120 |
| 29 and 115 | 3335 |
| 97 and 47 | 4559 |