Least Common Multiple (LCM) of 140 and 56
The least common multiple (LCM) of 140 and 56 is 280.
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 140 and 56?
First, calculate the GCD of 140 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 56 = 2 remainder 28 |
| 2 | 56 ÷ 28 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 188 | 37036 |
| 141 and 170 | 23970 |
| 99 and 131 | 12969 |
| 89 and 71 | 6319 |
| 130 and 59 | 7670 |