Least Common Multiple (LCM) of 134 and 73
The least common multiple (LCM) of 134 and 73 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 134 and 73?
First, calculate the GCD of 134 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 73 = 1 remainder 61 |
| 2 | 73 ÷ 61 = 1 remainder 12 |
| 3 | 61 ÷ 12 = 5 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 132 | 11748 |
| 59 and 145 | 8555 |
| 140 and 171 | 23940 |
| 82 and 83 | 6806 |
| 102 and 114 | 1938 |