Least Common Multiple (LCM) of 142 and 184
The least common multiple (LCM) of 142 and 184 is 13064.
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 184?
First, calculate the GCD of 142 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 184 = 0 remainder 142 |
| 2 | 184 ÷ 142 = 1 remainder 42 |
| 3 | 142 ÷ 42 = 3 remainder 16 |
| 4 | 42 ÷ 16 = 2 remainder 10 |
| 5 | 16 ÷ 10 = 1 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 93 | 3348 |
| 50 and 165 | 1650 |
| 67 and 151 | 10117 |
| 72 and 31 | 2232 |
| 101 and 161 | 16261 |