Least Common Multiple (LCM) of 126 and 73
The least common multiple (LCM) of 126 and 73 is 9198.
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 73?
First, calculate the GCD of 126 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 126 ÷ 73 = 1 remainder 53 |
| 2 | 73 ÷ 53 = 1 remainder 20 |
| 3 | 53 ÷ 20 = 2 remainder 13 |
| 4 | 20 ÷ 13 = 1 remainder 7 |
| 5 | 13 ÷ 7 = 1 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 28 | 4228 |
| 185 and 145 | 5365 |
| 130 and 185 | 4810 |
| 197 and 154 | 30338 |
| 59 and 79 | 4661 |