Least Common Multiple (LCM) of 126 and 32
The least common multiple (LCM) of 126 and 32 is 2016.
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 32?
First, calculate the GCD of 126 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 32 = 3 remainder 30 |
| 2 | 32 ÷ 30 = 1 remainder 2 |
| 3 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 103 | 14111 |
| 92 and 165 | 15180 |
| 161 and 126 | 2898 |
| 54 and 196 | 5292 |
| 87 and 181 | 15747 |