Least Common Multiple (LCM) of 118 and 176
The least common multiple (LCM) of 118 and 176 is 10384.
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 176?
First, calculate the GCD of 118 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 176 = 0 remainder 118 |
| 2 | 176 ÷ 118 = 1 remainder 58 |
| 3 | 118 ÷ 58 = 2 remainder 2 |
| 4 | 58 ÷ 2 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 102 | 9384 |
| 20 and 138 | 1380 |
| 65 and 93 | 6045 |
| 84 and 70 | 420 |
| 30 and 170 | 510 |