Least Common Multiple (LCM) of 155 and 163
The least common multiple (LCM) of 155 and 163 is 25265.
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 163?
First, calculate the GCD of 155 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 163 = 0 remainder 155 |
| 2 | 163 ÷ 155 = 1 remainder 8 |
| 3 | 155 ÷ 8 = 19 remainder 3 |
| 4 | 8 ÷ 3 = 2 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 138 | 17250 |
| 130 and 114 | 7410 |
| 119 and 68 | 476 |
| 171 and 152 | 1368 |
| 32 and 140 | 1120 |