Least Common Multiple (LCM) of 142 and 37
The least common multiple (LCM) of 142 and 37 is 5254.
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 37?
First, calculate the GCD of 142 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 37 = 3 remainder 31 |
| 2 | 37 ÷ 31 = 1 remainder 6 |
| 3 | 31 ÷ 6 = 5 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 19 | 2299 |
| 183 and 72 | 4392 |
| 165 and 63 | 3465 |
| 77 and 75 | 5775 |
| 38 and 105 | 3990 |