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 |
|---|---|
| 173 and 119 | 20587 |
| 15 and 135 | 135 |
| 130 and 82 | 5330 |
| 56 and 74 | 2072 |
| 32 and 17 | 544 |