Least Common Multiple (LCM) of 177 and 149
The least common multiple (LCM) of 177 and 149 is 26373.
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 149?
First, calculate the GCD of 177 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 149 = 1 remainder 28 |
| 2 | 149 ÷ 28 = 5 remainder 9 |
| 3 | 28 ÷ 9 = 3 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 21 | 2100 |
| 192 and 141 | 9024 |
| 124 and 167 | 20708 |
| 36 and 105 | 1260 |
| 111 and 121 | 13431 |