Least Common Multiple (LCM) of 126 and 42
The least common multiple (LCM) of 126 and 42 is 126.
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 126 and 42?
First, calculate the GCD of 126 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 42 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 189 | 10962 |
| 74 and 114 | 4218 |
| 114 and 186 | 3534 |
| 30 and 183 | 1830 |
| 46 and 20 | 460 |