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 |
|---|---|
| 185 and 186 | 34410 |
| 39 and 18 | 234 |
| 125 and 198 | 24750 |
| 13 and 16 | 208 |
| 123 and 13 | 1599 |