Least Common Multiple (LCM) of 41 and 172
The least common multiple (LCM) of 41 and 172 is 7052.
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 41 and 172?
First, calculate the GCD of 41 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 172 = 0 remainder 41 |
| 2 | 172 ÷ 41 = 4 remainder 8 |
| 3 | 41 ÷ 8 = 5 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 20 | 1220 |
| 148 and 82 | 6068 |
| 80 and 78 | 3120 |
| 192 and 118 | 11328 |
| 73 and 103 | 7519 |