Least Common Multiple (LCM) of 153 and 177
The least common multiple (LCM) of 153 and 177 is 9027.
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 153 and 177?
First, calculate the GCD of 153 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 177 = 0 remainder 153 |
| 2 | 177 ÷ 153 = 1 remainder 24 |
| 3 | 153 ÷ 24 = 6 remainder 9 |
| 4 | 24 ÷ 9 = 2 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 166 | 26394 |
| 21 and 106 | 2226 |
| 169 and 69 | 11661 |
| 165 and 97 | 16005 |
| 109 and 115 | 12535 |