Least Common Multiple (LCM) of 155 and 61
The least common multiple (LCM) of 155 and 61 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 155 and 61?
First, calculate the GCD of 155 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 61 = 2 remainder 33 |
| 2 | 61 ÷ 33 = 1 remainder 28 |
| 3 | 33 ÷ 28 = 1 remainder 5 |
| 4 | 28 ÷ 5 = 5 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 55 | 8965 |
| 59 and 159 | 9381 |
| 54 and 160 | 4320 |
| 78 and 99 | 2574 |
| 45 and 167 | 7515 |