Least Common Multiple (LCM) of 56 and 196
The least common multiple (LCM) of 56 and 196 is 392.
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 196?
First, calculate the GCD of 56 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 196 = 0 remainder 56 |
| 2 | 196 ÷ 56 = 3 remainder 28 |
| 3 | 56 ÷ 28 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 162 | 11340 |
| 37 and 31 | 1147 |
| 142 and 80 | 5680 |
| 111 and 74 | 222 |
| 158 and 126 | 9954 |