Least Common Multiple (LCM) of 172 and 58
The least common multiple (LCM) of 172 and 58 is 4988.
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 58?
First, calculate the GCD of 172 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 58 = 2 remainder 56 |
| 2 | 58 ÷ 56 = 1 remainder 2 |
| 3 | 56 ÷ 2 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 76 and 53 | 4028 |
| 180 and 154 | 13860 |
| 116 and 180 | 5220 |
| 25 and 37 | 925 |
| 56 and 66 | 1848 |