Least Common Multiple (LCM) of 56 and 36
The least common multiple (LCM) of 56 and 36 is 504.
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 36?
First, calculate the GCD of 56 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 36 = 1 remainder 20 |
| 2 | 36 ÷ 20 = 1 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 56 | 1288 |
| 164 and 18 | 1476 |
| 103 and 194 | 19982 |
| 193 and 15 | 2895 |
| 173 and 188 | 32524 |