Least Common Multiple (LCM) of 196 and 37
The least common multiple (LCM) of 196 and 37 is 7252.
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 37?
First, calculate the GCD of 196 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 37 = 5 remainder 11 |
| 2 | 37 ÷ 11 = 3 remainder 4 |
| 3 | 11 ÷ 4 = 2 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 18 | 198 |
| 44 and 140 | 1540 |
| 32 and 193 | 6176 |
| 21 and 190 | 3990 |
| 40 and 118 | 2360 |