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 |
|---|---|
| 143 and 183 | 26169 |
| 139 and 139 | 139 |
| 113 and 185 | 20905 |
| 200 and 97 | 19400 |
| 167 and 66 | 11022 |