Least Common Multiple (LCM) of 142 and 94
The least common multiple (LCM) of 142 and 94 is 6674.
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 94?
First, calculate the GCD of 142 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 94 = 1 remainder 48 |
| 2 | 94 ÷ 48 = 1 remainder 46 |
| 3 | 48 ÷ 46 = 1 remainder 2 |
| 4 | 46 ÷ 2 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 63 | 7812 |
| 173 and 184 | 31832 |
| 108 and 93 | 3348 |
| 59 and 39 | 2301 |
| 175 and 181 | 31675 |