Least Common Multiple (LCM) of 195 and 62
The least common multiple (LCM) of 195 and 62 is 12090.
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 62?
First, calculate the GCD of 195 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 62 = 3 remainder 9 |
| 2 | 62 ÷ 9 = 6 remainder 8 |
| 3 | 9 ÷ 8 = 1 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 121 | 18876 |
| 195 and 122 | 23790 |
| 80 and 165 | 2640 |
| 145 and 143 | 20735 |
| 179 and 129 | 23091 |