Least Common Multiple (LCM) of 56 and 94
The least common multiple (LCM) of 56 and 94 is 2632.
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 94?
First, calculate the GCD of 56 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 94 = 0 remainder 56 |
| 2 | 94 ÷ 56 = 1 remainder 38 |
| 3 | 56 ÷ 38 = 1 remainder 18 |
| 4 | 38 ÷ 18 = 2 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 16 | 2576 |
| 196 and 57 | 11172 |
| 134 and 131 | 17554 |
| 161 and 180 | 28980 |
| 140 and 62 | 4340 |