Least Common Multiple (LCM) of 35 and 79
The least common multiple (LCM) of 35 and 79 is 2765.
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 35 and 79?
First, calculate the GCD of 35 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 79 = 0 remainder 35 |
| 2 | 79 ÷ 35 = 2 remainder 9 |
| 3 | 35 ÷ 9 = 3 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 98 | 11466 |
| 169 and 158 | 26702 |
| 23 and 121 | 2783 |
| 188 and 119 | 22372 |
| 89 and 21 | 1869 |