Least Common Multiple (LCM) of 142 and 115
The least common multiple (LCM) of 142 and 115 is 16330.
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 115?
First, calculate the GCD of 142 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 115 = 1 remainder 27 |
| 2 | 115 ÷ 27 = 4 remainder 7 |
| 3 | 27 ÷ 7 = 3 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 158 | 12008 |
| 172 and 120 | 5160 |
| 47 and 108 | 5076 |
| 90 and 10 | 90 |
| 170 and 192 | 16320 |