Least Common Multiple (LCM) of 133 and 56
The least common multiple (LCM) of 133 and 56 is 1064.
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 133 and 56?
First, calculate the GCD of 133 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 56 = 2 remainder 21 |
| 2 | 56 ÷ 21 = 2 remainder 14 |
| 3 | 21 ÷ 14 = 1 remainder 7 |
| 4 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 72 | 1368 |
| 15 and 119 | 1785 |
| 130 and 115 | 2990 |
| 54 and 120 | 1080 |
| 50 and 30 | 150 |