Least Common Multiple (LCM) of 41 and 157
The least common multiple (LCM) of 41 and 157 is 6437.
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 157?
First, calculate the GCD of 41 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 157 = 0 remainder 41 |
| 2 | 157 ÷ 41 = 3 remainder 34 |
| 3 | 41 ÷ 34 = 1 remainder 7 |
| 4 | 34 ÷ 7 = 4 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 195 | 38805 |
| 120 and 176 | 2640 |
| 113 and 97 | 10961 |
| 106 and 173 | 18338 |
| 19 and 167 | 3173 |