Least Common Multiple (LCM) of 56 and 146
The least common multiple (LCM) of 56 and 146 is 4088.
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 56 and 146?
First, calculate the GCD of 56 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 146 = 0 remainder 56 |
| 2 | 146 ÷ 56 = 2 remainder 34 |
| 3 | 56 ÷ 34 = 1 remainder 22 |
| 4 | 34 ÷ 22 = 1 remainder 12 |
| 5 | 22 ÷ 12 = 1 remainder 10 |
| 6 | 12 ÷ 10 = 1 remainder 2 |
| 7 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 102 | 8466 |
| 96 and 48 | 96 |
| 135 and 128 | 17280 |
| 129 and 72 | 3096 |
| 45 and 120 | 360 |