Least Common Multiple (LCM) of 172 and 74
The least common multiple (LCM) of 172 and 74 is 6364.
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 172 and 74?
First, calculate the GCD of 172 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 74 = 2 remainder 24 |
| 2 | 74 ÷ 24 = 3 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 32 | 2976 |
| 180 and 132 | 1980 |
| 17 and 105 | 1785 |
| 177 and 31 | 5487 |
| 72 and 129 | 3096 |