Least Common Multiple (LCM) of 172 and 52
The least common multiple (LCM) of 172 and 52 is 2236.
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 52?
First, calculate the GCD of 172 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 52 = 3 remainder 16 |
| 2 | 52 ÷ 16 = 3 remainder 4 |
| 3 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 16 | 2160 |
| 75 and 46 | 3450 |
| 96 and 47 | 4512 |
| 59 and 114 | 6726 |
| 174 and 113 | 19662 |