Least Common Multiple (LCM) of 155 and 165
The least common multiple (LCM) of 155 and 165 is 5115.
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 165?
First, calculate the GCD of 155 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 165 = 0 remainder 155 |
| 2 | 165 ÷ 155 = 1 remainder 10 |
| 3 | 155 ÷ 10 = 15 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 156 | 2652 |
| 65 and 164 | 10660 |
| 143 and 41 | 5863 |
| 174 and 22 | 1914 |
| 58 and 26 | 754 |