Least Common Multiple (LCM) of 61 and 155
The least common multiple (LCM) of 61 and 155 is 9455.
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 155?
First, calculate the GCD of 61 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 155 = 0 remainder 61 |
| 2 | 155 ÷ 61 = 2 remainder 33 |
| 3 | 61 ÷ 33 = 1 remainder 28 |
| 4 | 33 ÷ 28 = 1 remainder 5 |
| 5 | 28 ÷ 5 = 5 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 187 | 35156 |
| 184 and 62 | 5704 |
| 108 and 125 | 13500 |
| 57 and 133 | 399 |
| 163 and 168 | 27384 |