Least Common Multiple (LCM) of 157 and 56
The least common multiple (LCM) of 157 and 56 is 8792.
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 157 and 56?
First, calculate the GCD of 157 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 56 = 2 remainder 45 |
| 2 | 56 ÷ 45 = 1 remainder 11 |
| 3 | 45 ÷ 11 = 4 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 24 | 1032 |
| 196 and 31 | 6076 |
| 112 and 151 | 16912 |
| 146 and 191 | 27886 |
| 86 and 38 | 1634 |