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 |
|---|---|
| 112 and 192 | 1344 |
| 44 and 33 | 132 |
| 75 and 74 | 5550 |
| 130 and 13 | 130 |
| 102 and 154 | 7854 |