Least Common Multiple (LCM) of 73 and 186
The least common multiple (LCM) of 73 and 186 is 13578.
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 186?
First, calculate the GCD of 73 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 186 = 0 remainder 73 |
| 2 | 186 ÷ 73 = 2 remainder 40 |
| 3 | 73 ÷ 40 = 1 remainder 33 |
| 4 | 40 ÷ 33 = 1 remainder 7 |
| 5 | 33 ÷ 7 = 4 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 157 | 16014 |
| 152 and 121 | 18392 |
| 16 and 135 | 2160 |
| 41 and 153 | 6273 |
| 197 and 77 | 15169 |