Least Common Multiple (LCM) of 142 and 68
The least common multiple (LCM) of 142 and 68 is 4828.
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 142 and 68?
First, calculate the GCD of 142 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 68 = 2 remainder 6 |
| 2 | 68 ÷ 6 = 11 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 133 | 23009 |
| 45 and 47 | 2115 |
| 79 and 17 | 1343 |
| 120 and 182 | 10920 |
| 53 and 174 | 9222 |