Least Common Multiple (LCM) of 140 and 147
The least common multiple (LCM) of 140 and 147 is 2940.
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 147?
First, calculate the GCD of 140 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 147 = 0 remainder 140 |
| 2 | 147 ÷ 140 = 1 remainder 7 |
| 3 | 140 ÷ 7 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 114 | 4674 |
| 194 and 81 | 15714 |
| 42 and 31 | 1302 |
| 77 and 41 | 3157 |
| 101 and 108 | 10908 |