Least Common Multiple (LCM) of 73 and 154
The least common multiple (LCM) of 73 and 154 is 11242.
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 154?
First, calculate the GCD of 73 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 154 = 0 remainder 73 |
| 2 | 154 ÷ 73 = 2 remainder 8 |
| 3 | 73 ÷ 8 = 9 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 45 | 6705 |
| 156 and 178 | 13884 |
| 55 and 94 | 5170 |
| 115 and 25 | 575 |
| 156 and 13 | 156 |