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 |
|---|---|
| 180 and 126 | 1260 |
| 160 and 110 | 1760 |
| 184 and 173 | 31832 |
| 144 and 91 | 13104 |
| 98 and 11 | 1078 |