Least Common Multiple (LCM) of 134 and 156
The least common multiple (LCM) of 134 and 156 is 10452.
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 134 and 156?
First, calculate the GCD of 134 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 156 = 0 remainder 134 |
| 2 | 156 ÷ 134 = 1 remainder 22 |
| 3 | 134 ÷ 22 = 6 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 185 | 6105 |
| 86 and 10 | 430 |
| 187 and 123 | 23001 |
| 137 and 20 | 2740 |
| 49 and 132 | 6468 |