Least Common Multiple (LCM) of 48 and 142
The least common multiple (LCM) of 48 and 142 is 3408.
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 48 and 142?
First, calculate the GCD of 48 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 142 = 0 remainder 48 |
| 2 | 142 ÷ 48 = 2 remainder 46 |
| 3 | 48 ÷ 46 = 1 remainder 2 |
| 4 | 46 ÷ 2 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 106 | 9116 |
| 70 and 45 | 630 |
| 60 and 108 | 540 |
| 108 and 186 | 3348 |
| 193 and 188 | 36284 |