Least Common Multiple (LCM) of 146 and 140
The least common multiple (LCM) of 146 and 140 is 10220.
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 146 and 140?
First, calculate the GCD of 146 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 140 = 1 remainder 6 |
| 2 | 140 ÷ 6 = 23 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 69 | 8004 |
| 171 and 101 | 17271 |
| 49 and 69 | 3381 |
| 81 and 108 | 324 |
| 100 and 125 | 500 |