Least Common Multiple (LCM) of 140 and 73
The least common multiple (LCM) of 140 and 73 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 140 and 73?
First, calculate the GCD of 140 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 73 = 1 remainder 67 |
| 2 | 73 ÷ 67 = 1 remainder 6 |
| 3 | 67 ÷ 6 = 11 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 166 | 11122 |
| 169 and 106 | 17914 |
| 108 and 108 | 108 |
| 182 and 167 | 30394 |
| 17 and 11 | 187 |