Least Common Multiple (LCM) of 195 and 52
The least common multiple (LCM) of 195 and 52 is 780.
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 52?
First, calculate the GCD of 195 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 52 = 3 remainder 39 |
| 2 | 52 ÷ 39 = 1 remainder 13 |
| 3 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 185 | 13320 |
| 118 and 65 | 7670 |
| 165 and 49 | 8085 |
| 79 and 59 | 4661 |
| 158 and 100 | 7900 |