Least Common Multiple (LCM) of 196 and 185
The least common multiple (LCM) of 196 and 185 is 36260.
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 185?
First, calculate the GCD of 196 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 185 = 1 remainder 11 |
| 2 | 185 ÷ 11 = 16 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 77 | 14707 |
| 114 and 41 | 4674 |
| 175 and 118 | 20650 |
| 93 and 109 | 10137 |
| 164 and 115 | 18860 |