Least Common Multiple (LCM) of 69 and 35
The least common multiple (LCM) of 69 and 35 is 2415.
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 69 and 35?
First, calculate the GCD of 69 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 35 = 1 remainder 34 |
| 2 | 35 ÷ 34 = 1 remainder 1 |
| 3 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 194 | 12998 |
| 107 and 157 | 16799 |
| 26 and 146 | 1898 |
| 102 and 195 | 6630 |
| 108 and 168 | 1512 |