Least Common Multiple (LCM) of 177 and 156
The least common multiple (LCM) of 177 and 156 is 9204.
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 156?
First, calculate the GCD of 177 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 156 = 1 remainder 21 |
| 2 | 156 ÷ 21 = 7 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 84 | 1596 |
| 199 and 90 | 17910 |
| 84 and 132 | 924 |
| 101 and 72 | 7272 |
| 159 and 137 | 21783 |