Least Common Multiple (LCM) of 73 and 140
The least common multiple (LCM) of 73 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 73 and 140?
First, calculate the GCD of 73 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 140 = 0 remainder 73 |
| 2 | 140 ÷ 73 = 1 remainder 67 |
| 3 | 73 ÷ 67 = 1 remainder 6 |
| 4 | 67 ÷ 6 = 11 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 53 | 848 |
| 159 and 37 | 5883 |
| 194 and 134 | 12998 |
| 42 and 105 | 210 |
| 143 and 94 | 13442 |