Least Common Multiple (LCM) of 12 and 156
The least common multiple (LCM) of 12 and 156 is 156.
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 12 and 156?
First, calculate the GCD of 12 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 156 = 0 remainder 12 |
| 2 | 156 ÷ 12 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 123 | 21156 |
| 31 and 91 | 2821 |
| 30 and 37 | 1110 |
| 145 and 154 | 22330 |
| 168 and 154 | 1848 |