Least Common Multiple (LCM) of 56 and 52
The least common multiple (LCM) of 56 and 52 is 728.
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 52?
First, calculate the GCD of 56 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 52 = 1 remainder 4 |
| 2 | 52 ÷ 4 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 187 | 3740 |
| 79 and 102 | 8058 |
| 173 and 61 | 10553 |
| 40 and 129 | 5160 |
| 109 and 99 | 10791 |