Least Common Multiple (LCM) of 195 and 99
The least common multiple (LCM) of 195 and 99 is 6435.
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 99?
First, calculate the GCD of 195 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 99 = 1 remainder 96 |
| 2 | 99 ÷ 96 = 1 remainder 3 |
| 3 | 96 ÷ 3 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 71 | 1207 |
| 144 and 109 | 15696 |
| 76 and 93 | 7068 |
| 102 and 123 | 4182 |
| 128 and 46 | 2944 |