Least Common Multiple (LCM) of 141 and 140
The least common multiple (LCM) of 141 and 140 is 19740.
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 141 and 140?
First, calculate the GCD of 141 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 140 = 1 remainder 1 |
| 2 | 140 ÷ 1 = 140 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 32 | 224 |
| 53 and 16 | 848 |
| 107 and 103 | 11021 |
| 116 and 54 | 3132 |
| 83 and 84 | 6972 |