Least Common Multiple (LCM) of 35 and 69
The least common multiple (LCM) of 35 and 69 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 35 and 69?
First, calculate the GCD of 35 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 35 ÷ 69 = 0 remainder 35 |
| 2 | 69 ÷ 35 = 1 remainder 34 |
| 3 | 35 ÷ 34 = 1 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 172 | 11180 |
| 49 and 171 | 8379 |
| 52 and 135 | 7020 |
| 174 and 44 | 3828 |
| 173 and 72 | 12456 |