Least Common Multiple (LCM) of 195 and 152
The least common multiple (LCM) of 195 and 152 is 29640.
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 152?
First, calculate the GCD of 195 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 152 = 1 remainder 43 |
| 2 | 152 ÷ 43 = 3 remainder 23 |
| 3 | 43 ÷ 23 = 1 remainder 20 |
| 4 | 23 ÷ 20 = 1 remainder 3 |
| 5 | 20 ÷ 3 = 6 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 73 | 13651 |
| 17 and 103 | 1751 |
| 38 and 116 | 2204 |
| 153 and 37 | 5661 |
| 177 and 114 | 6726 |