Least Common Multiple (LCM) of 117 and 126
The least common multiple (LCM) of 117 and 126 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 117 and 126?
First, calculate the GCD of 117 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 126 = 0 remainder 117 |
| 2 | 126 ÷ 117 = 1 remainder 9 |
| 3 | 117 ÷ 9 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 47 | 8319 |
| 37 and 136 | 5032 |
| 62 and 38 | 1178 |
| 117 and 75 | 2925 |
| 34 and 153 | 306 |