Least Common Multiple (LCM) of 155 and 57
The least common multiple (LCM) of 155 and 57 is 8835.
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 57?
First, calculate the GCD of 155 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 57 = 2 remainder 41 |
| 2 | 57 ÷ 41 = 1 remainder 16 |
| 3 | 41 ÷ 16 = 2 remainder 9 |
| 4 | 16 ÷ 9 = 1 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 31 | 2325 |
| 137 and 79 | 10823 |
| 114 and 131 | 14934 |
| 198 and 32 | 3168 |
| 121 and 61 | 7381 |