Least Common Multiple (LCM) of 196 and 187
The least common multiple (LCM) of 196 and 187 is 36652.
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 187?
First, calculate the GCD of 196 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 187 = 1 remainder 9 |
| 2 | 187 ÷ 9 = 20 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 84 | 5628 |
| 157 and 161 | 25277 |
| 194 and 131 | 25414 |
| 131 and 16 | 2096 |
| 21 and 61 | 1281 |