Least Common Multiple (LCM) of 196 and 36
The least common multiple (LCM) of 196 and 36 is 1764.
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 36?
First, calculate the GCD of 196 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 36 = 5 remainder 16 |
| 2 | 36 ÷ 16 = 2 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 111 | 22089 |
| 115 and 149 | 17135 |
| 44 and 138 | 3036 |
| 189 and 40 | 7560 |
| 134 and 200 | 13400 |