Least Common Multiple (LCM) of 196 and 46
The least common multiple (LCM) of 196 and 46 is 4508.
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 196 and 46?
First, calculate the GCD of 196 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 46 = 4 remainder 12 |
| 2 | 46 ÷ 12 = 3 remainder 10 |
| 3 | 12 ÷ 10 = 1 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 123 | 2091 |
| 133 and 13 | 1729 |
| 159 and 76 | 12084 |
| 121 and 31 | 3751 |
| 52 and 80 | 1040 |