Least Common Multiple (LCM) of 177 and 118
The least common multiple (LCM) of 177 and 118 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 177 and 118?
First, calculate the GCD of 177 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 118 = 1 remainder 59 |
| 2 | 118 ÷ 59 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 41 | 1312 |
| 118 and 90 | 5310 |
| 34 and 55 | 1870 |
| 165 and 19 | 3135 |
| 113 and 121 | 13673 |