Least Common Multiple (LCM) of 156 and 71
The least common multiple (LCM) of 156 and 71 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 156 and 71?
First, calculate the GCD of 156 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 71 = 2 remainder 14 |
| 2 | 71 ÷ 14 = 5 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 33 | 6105 |
| 179 and 104 | 18616 |
| 176 and 73 | 12848 |
| 139 and 143 | 19877 |
| 73 and 36 | 2628 |