Least Common Multiple (LCM) of 142 and 179
The least common multiple (LCM) of 142 and 179 is 25418.
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 179?
First, calculate the GCD of 142 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 179 = 0 remainder 142 |
| 2 | 179 ÷ 142 = 1 remainder 37 |
| 3 | 142 ÷ 37 = 3 remainder 31 |
| 4 | 37 ÷ 31 = 1 remainder 6 |
| 5 | 31 ÷ 6 = 5 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 129 | 7224 |
| 57 and 112 | 6384 |
| 157 and 40 | 6280 |
| 103 and 69 | 7107 |
| 133 and 65 | 8645 |