Least Common Multiple (LCM) of 172 and 104
The least common multiple (LCM) of 172 and 104 is 4472.
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 104?
First, calculate the GCD of 172 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 104 = 1 remainder 68 |
| 2 | 104 ÷ 68 = 1 remainder 36 |
| 3 | 68 ÷ 36 = 1 remainder 32 |
| 4 | 36 ÷ 32 = 1 remainder 4 |
| 5 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 27 | 2133 |
| 104 and 21 | 2184 |
| 145 and 131 | 18995 |
| 20 and 98 | 980 |
| 113 and 32 | 3616 |