Least Common Multiple (LCM) of 118 and 142
The least common multiple (LCM) of 118 and 142 is 8378.
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 142?
First, calculate the GCD of 118 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 142 = 0 remainder 118 |
| 2 | 142 ÷ 118 = 1 remainder 24 |
| 3 | 118 ÷ 24 = 4 remainder 22 |
| 4 | 24 ÷ 22 = 1 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 122 | 6222 |
| 76 and 188 | 3572 |
| 124 and 53 | 6572 |
| 198 and 173 | 34254 |
| 36 and 180 | 180 |