Least Common Multiple (LCM) of 36 and 177
The least common multiple (LCM) of 36 and 177 is 2124.
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 36 and 177?
First, calculate the GCD of 36 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 177 = 0 remainder 36 |
| 2 | 177 ÷ 36 = 4 remainder 33 |
| 3 | 36 ÷ 33 = 1 remainder 3 |
| 4 | 33 ÷ 3 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 67 | 10117 |
| 134 and 126 | 8442 |
| 81 and 143 | 11583 |
| 81 and 197 | 15957 |
| 185 and 45 | 1665 |