Least Common Multiple (LCM) of 155 and 45
The least common multiple (LCM) of 155 and 45 is 1395.
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 45?
First, calculate the GCD of 155 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 45 = 3 remainder 20 |
| 2 | 45 ÷ 20 = 2 remainder 5 |
| 3 | 20 ÷ 5 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 195 | 19695 |
| 37 and 139 | 5143 |
| 33 and 112 | 3696 |
| 178 and 58 | 5162 |
| 17 and 54 | 918 |