Least Common Multiple (LCM) of 177 and 153
The least common multiple (LCM) of 177 and 153 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 177 and 153?
First, calculate the GCD of 177 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 153 = 1 remainder 24 |
| 2 | 153 ÷ 24 = 6 remainder 9 |
| 3 | 24 ÷ 9 = 2 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 59 | 5723 |
| 120 and 115 | 2760 |
| 139 and 116 | 16124 |
| 174 and 176 | 15312 |
| 55 and 124 | 6820 |