Least Common Multiple (LCM) of 126 and 117
The least common multiple (LCM) of 126 and 117 is 1638.
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 117?
First, calculate the GCD of 126 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 117 = 1 remainder 9 |
| 2 | 117 ÷ 9 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 29 | 1479 |
| 147 and 132 | 6468 |
| 175 and 50 | 350 |
| 161 and 52 | 8372 |
| 143 and 42 | 6006 |