Least Common Multiple (LCM) of 61 and 195
The least common multiple (LCM) of 61 and 195 is 11895.
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 61 and 195?
First, calculate the GCD of 61 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 195 = 0 remainder 61 |
| 2 | 195 ÷ 61 = 3 remainder 12 |
| 3 | 61 ÷ 12 = 5 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 155 | 15035 |
| 174 and 110 | 9570 |
| 102 and 137 | 13974 |
| 118 and 73 | 8614 |
| 178 and 106 | 9434 |