Least Common Multiple (LCM) of 155 and 73
The least common multiple (LCM) of 155 and 73 is 11315.
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 155 and 73?
First, calculate the GCD of 155 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 73 = 2 remainder 9 |
| 2 | 73 ÷ 9 = 8 remainder 1 |
| 3 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 92 and 186 | 8556 |
| 152 and 127 | 19304 |
| 125 and 196 | 24500 |
| 111 and 97 | 10767 |
| 146 and 107 | 15622 |