Least Common Multiple (LCM) of 118 and 177
The least common multiple (LCM) of 118 and 177 is 354.
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 118 and 177?
First, calculate the GCD of 118 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 177 = 0 remainder 118 |
| 2 | 177 ÷ 118 = 1 remainder 59 |
| 3 | 118 ÷ 59 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 153 | 10710 |
| 161 and 17 | 2737 |
| 71 and 155 | 11005 |
| 115 and 159 | 18285 |
| 37 and 104 | 3848 |