Least Common Multiple (LCM) of 52 and 196
The least common multiple (LCM) of 52 and 196 is 2548.
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 52 and 196?
First, calculate the GCD of 52 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 196 = 0 remainder 52 |
| 2 | 196 ÷ 52 = 3 remainder 40 |
| 3 | 52 ÷ 40 = 1 remainder 12 |
| 4 | 40 ÷ 12 = 3 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 186 | 10788 |
| 24 and 46 | 552 |
| 78 and 80 | 3120 |
| 58 and 135 | 7830 |
| 145 and 164 | 23780 |