Least Common Multiple (LCM) of 155 and 177
The least common multiple (LCM) of 155 and 177 is 27435.
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 177?
First, calculate the GCD of 155 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 177 = 0 remainder 155 |
| 2 | 177 ÷ 155 = 1 remainder 22 |
| 3 | 155 ÷ 22 = 7 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 52 | 5148 |
| 106 and 30 | 1590 |
| 52 and 38 | 988 |
| 108 and 192 | 1728 |
| 159 and 159 | 159 |