Least Common Multiple (LCM) of 142 and 154
The least common multiple (LCM) of 142 and 154 is 10934.
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 154?
First, calculate the GCD of 142 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 154 = 0 remainder 142 |
| 2 | 154 ÷ 142 = 1 remainder 12 |
| 3 | 142 ÷ 12 = 11 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 84 | 7476 |
| 198 and 186 | 6138 |
| 144 and 174 | 4176 |
| 198 and 76 | 7524 |
| 101 and 100 | 10100 |