Least Common Multiple (LCM) of 195 and 100
The least common multiple (LCM) of 195 and 100 is 3900.
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 195 and 100?
First, calculate the GCD of 195 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 100 = 1 remainder 95 |
| 2 | 100 ÷ 95 = 1 remainder 5 |
| 3 | 95 ÷ 5 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 73 | 8249 |
| 77 and 177 | 13629 |
| 34 and 163 | 5542 |
| 12 and 195 | 780 |
| 65 and 112 | 7280 |