Least Common Multiple (LCM) of 126 and 66
The least common multiple (LCM) of 126 and 66 is 1386.
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 66?
First, calculate the GCD of 126 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 66 = 1 remainder 60 |
| 2 | 66 ÷ 60 = 1 remainder 6 |
| 3 | 60 ÷ 6 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 80 | 9680 |
| 103 and 115 | 11845 |
| 188 and 172 | 8084 |
| 157 and 59 | 9263 |
| 152 and 102 | 7752 |