Least Common Multiple (LCM) of 79 and 142
The least common multiple (LCM) of 79 and 142 is 11218.
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 79 and 142?
First, calculate the GCD of 79 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 142 = 0 remainder 79 |
| 2 | 142 ÷ 79 = 1 remainder 63 |
| 3 | 79 ÷ 63 = 1 remainder 16 |
| 4 | 63 ÷ 16 = 3 remainder 15 |
| 5 | 16 ÷ 15 = 1 remainder 1 |
| 6 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 43 | 3784 |
| 66 and 32 | 1056 |
| 118 and 172 | 10148 |
| 14 and 17 | 238 |
| 151 and 189 | 28539 |