Least Common Multiple (LCM) of 126 and 43
The least common multiple (LCM) of 126 and 43 is 5418.
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 43?
First, calculate the GCD of 126 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 43 = 2 remainder 40 |
| 2 | 43 ÷ 40 = 1 remainder 3 |
| 3 | 40 ÷ 3 = 13 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 85 | 8840 |
| 77 and 130 | 10010 |
| 53 and 155 | 8215 |
| 142 and 176 | 12496 |
| 52 and 99 | 5148 |