Least Common Multiple (LCM) of 126 and 85
The least common multiple (LCM) of 126 and 85 is 10710.
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 85?
First, calculate the GCD of 126 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 85 = 1 remainder 41 |
| 2 | 85 ÷ 41 = 2 remainder 3 |
| 3 | 41 ÷ 3 = 13 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 94 | 7050 |
| 159 and 12 | 636 |
| 64 and 33 | 2112 |
| 111 and 134 | 14874 |
| 48 and 27 | 432 |