Least Common Multiple (LCM) of 196 and 68
The least common multiple (LCM) of 196 and 68 is 3332.
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 68?
First, calculate the GCD of 196 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 68 = 2 remainder 60 |
| 2 | 68 ÷ 60 = 1 remainder 8 |
| 3 | 60 ÷ 8 = 7 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 150 | 150 |
| 47 and 56 | 2632 |
| 95 and 106 | 10070 |
| 48 and 61 | 2928 |
| 12 and 118 | 708 |