Least Common Multiple (LCM) of 14 and 142
The least common multiple (LCM) of 14 and 142 is 994.
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 14 and 142?
First, calculate the GCD of 14 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 142 = 0 remainder 14 |
| 2 | 142 ÷ 14 = 10 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 68 | 5372 |
| 140 and 83 | 11620 |
| 45 and 130 | 1170 |
| 198 and 138 | 4554 |
| 156 and 55 | 8580 |