Least Common Multiple (LCM) of 140 and 43
The least common multiple (LCM) of 140 and 43 is 6020.
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 43?
First, calculate the GCD of 140 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 43 = 3 remainder 11 |
| 2 | 43 ÷ 11 = 3 remainder 10 |
| 3 | 11 ÷ 10 = 1 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 115 | 6440 |
| 63 and 99 | 693 |
| 158 and 196 | 15484 |
| 144 and 141 | 6768 |
| 174 and 101 | 17574 |