Least Common Multiple (LCM) of 156 and 146
The least common multiple (LCM) of 156 and 146 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 156 and 146?
First, calculate the GCD of 156 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 146 = 1 remainder 10 |
| 2 | 146 ÷ 10 = 14 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 136 | 15912 |
| 135 and 66 | 2970 |
| 59 and 118 | 118 |
| 116 and 141 | 16356 |
| 178 and 80 | 7120 |