Least Common Multiple (LCM) of 73 and 134
The least common multiple (LCM) of 73 and 134 is 9782.
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 73 and 134?
First, calculate the GCD of 73 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 134 = 0 remainder 73 |
| 2 | 134 ÷ 73 = 1 remainder 61 |
| 3 | 73 ÷ 61 = 1 remainder 12 |
| 4 | 61 ÷ 12 = 5 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 29 | 1392 |
| 195 and 57 | 3705 |
| 144 and 65 | 9360 |
| 190 and 16 | 1520 |
| 20 and 32 | 160 |