Least Common Multiple (LCM) of 118 and 35
The least common multiple (LCM) of 118 and 35 is 4130.
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 35?
First, calculate the GCD of 118 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 35 = 3 remainder 13 |
| 2 | 35 ÷ 13 = 2 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 122 | 20374 |
| 129 and 198 | 8514 |
| 61 and 86 | 5246 |
| 142 and 46 | 3266 |
| 85 and 51 | 255 |