Least Common Multiple (LCM) of 195 and 36
The least common multiple (LCM) of 195 and 36 is 2340.
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 36?
First, calculate the GCD of 195 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 36 = 5 remainder 15 |
| 2 | 36 ÷ 15 = 2 remainder 6 |
| 3 | 15 ÷ 6 = 2 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 31 | 4867 |
| 48 and 19 | 912 |
| 116 and 197 | 22852 |
| 100 and 173 | 17300 |
| 149 and 140 | 20860 |