Least Common Multiple (LCM) of 118 and 94
The least common multiple (LCM) of 118 and 94 is 5546.
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 94?
First, calculate the GCD of 118 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 94 = 1 remainder 24 |
| 2 | 94 ÷ 24 = 3 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 188 | 7708 |
| 172 and 197 | 33884 |
| 192 and 164 | 7872 |
| 124 and 61 | 7564 |
| 75 and 51 | 1275 |