Least Common Multiple (LCM) of 142 and 73
The least common multiple (LCM) of 142 and 73 is 10366.
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 142 and 73?
First, calculate the GCD of 142 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 73 = 1 remainder 69 |
| 2 | 73 ÷ 69 = 1 remainder 4 |
| 3 | 69 ÷ 4 = 17 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 22 | 330 |
| 121 and 170 | 20570 |
| 119 and 76 | 9044 |
| 74 and 115 | 8510 |
| 145 and 199 | 28855 |