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 |
|---|---|
| 101 and 124 | 12524 |
| 147 and 11 | 1617 |
| 25 and 109 | 2725 |
| 193 and 74 | 14282 |
| 118 and 138 | 8142 |