Least Common Multiple (LCM) of 95 and 196
The least common multiple (LCM) of 95 and 196 is 18620.
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 95 and 196?
First, calculate the GCD of 95 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 196 = 0 remainder 95 |
| 2 | 196 ÷ 95 = 2 remainder 6 |
| 3 | 95 ÷ 6 = 15 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 41 | 6847 |
| 55 and 132 | 660 |
| 196 and 164 | 8036 |
| 131 and 124 | 16244 |
| 188 and 120 | 5640 |