Least Common Multiple (LCM) of 135 and 79
The least common multiple (LCM) of 135 and 79 is 10665.
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 135 and 79?
First, calculate the GCD of 135 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 79 = 1 remainder 56 |
| 2 | 79 ÷ 56 = 1 remainder 23 |
| 3 | 56 ÷ 23 = 2 remainder 10 |
| 4 | 23 ÷ 10 = 2 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 159 | 21147 |
| 166 and 40 | 3320 |
| 75 and 186 | 4650 |
| 50 and 185 | 1850 |
| 174 and 44 | 3828 |