Least Common Multiple (LCM) of 142 and 45
The least common multiple (LCM) of 142 and 45 is 6390.
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 45?
First, calculate the GCD of 142 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 45 = 3 remainder 7 |
| 2 | 45 ÷ 7 = 6 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 32 | 3936 |
| 59 and 108 | 6372 |
| 56 and 73 | 4088 |
| 133 and 171 | 1197 |
| 10 and 100 | 100 |