Least Common Multiple (LCM) of 71 and 156
The least common multiple (LCM) of 71 and 156 is 11076.
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 71 and 156?
First, calculate the GCD of 71 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 156 = 0 remainder 71 |
| 2 | 156 ÷ 71 = 2 remainder 14 |
| 3 | 71 ÷ 14 = 5 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 67 | 7839 |
| 154 and 51 | 7854 |
| 53 and 23 | 1219 |
| 164 and 106 | 8692 |
| 124 and 101 | 12524 |