Least Common Multiple (LCM) of 146 and 156
The least common multiple (LCM) of 146 and 156 is 11388.
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 146 and 156?
First, calculate the GCD of 146 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 156 = 0 remainder 146 |
| 2 | 156 ÷ 146 = 1 remainder 10 |
| 3 | 146 ÷ 10 = 14 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 159 | 6837 |
| 166 and 117 | 19422 |
| 105 and 48 | 1680 |
| 28 and 190 | 2660 |
| 32 and 31 | 992 |