Least Common Multiple (LCM) of 56 and 152
The least common multiple (LCM) of 56 and 152 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 56 and 152?
First, calculate the GCD of 56 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 152 = 0 remainder 56 |
| 2 | 152 ÷ 56 = 2 remainder 40 |
| 3 | 56 ÷ 40 = 1 remainder 16 |
| 4 | 40 ÷ 16 = 2 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 25 | 4225 |
| 123 and 165 | 6765 |
| 193 and 185 | 35705 |
| 154 and 135 | 20790 |
| 197 and 43 | 8471 |