Least Common Multiple (LCM) of 73 and 158
The least common multiple (LCM) of 73 and 158 is 11534.
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 158?
First, calculate the GCD of 73 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 158 = 0 remainder 73 |
| 2 | 158 ÷ 73 = 2 remainder 12 |
| 3 | 73 ÷ 12 = 6 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 153 | 17136 |
| 104 and 84 | 2184 |
| 41 and 176 | 7216 |
| 73 and 174 | 12702 |
| 126 and 171 | 2394 |