Least Common Multiple (LCM) of 42 and 184
The least common multiple (LCM) of 42 and 184 is 3864.
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 42 and 184?
First, calculate the GCD of 42 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 184 = 0 remainder 42 |
| 2 | 184 ÷ 42 = 4 remainder 16 |
| 3 | 42 ÷ 16 = 2 remainder 10 |
| 4 | 16 ÷ 10 = 1 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 147 | 19257 |
| 175 and 160 | 5600 |
| 105 and 128 | 13440 |
| 136 and 134 | 9112 |
| 104 and 151 | 15704 |