Least Common Multiple (LCM) of 72 and 166
The least common multiple (LCM) of 72 and 166 is 5976.
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 72 and 166?
First, calculate the GCD of 72 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 166 = 0 remainder 72 |
| 2 | 166 ÷ 72 = 2 remainder 22 |
| 3 | 72 ÷ 22 = 3 remainder 6 |
| 4 | 22 ÷ 6 = 3 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 123 | 6888 |
| 17 and 155 | 2635 |
| 146 and 67 | 9782 |
| 145 and 79 | 11455 |
| 144 and 123 | 5904 |