Least Common Multiple (LCM) of 142 and 195
The least common multiple (LCM) of 142 and 195 is 27690.
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 195?
First, calculate the GCD of 142 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 195 = 0 remainder 142 |
| 2 | 195 ÷ 142 = 1 remainder 53 |
| 3 | 142 ÷ 53 = 2 remainder 36 |
| 4 | 53 ÷ 36 = 1 remainder 17 |
| 5 | 36 ÷ 17 = 2 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 180 | 4680 |
| 46 and 156 | 3588 |
| 160 and 191 | 30560 |
| 111 and 97 | 10767 |
| 110 and 169 | 18590 |