Least Common Multiple (LCM) of 41 and 156
The least common multiple (LCM) of 41 and 156 is 6396.
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 156?
First, calculate the GCD of 41 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 156 = 0 remainder 41 |
| 2 | 156 ÷ 41 = 3 remainder 33 |
| 3 | 41 ÷ 33 = 1 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 107 | 9095 |
| 74 and 21 | 1554 |
| 54 and 53 | 2862 |
| 178 and 140 | 12460 |
| 105 and 174 | 6090 |