Least Common Multiple (LCM) of 134 and 69
The least common multiple (LCM) of 134 and 69 is 9246.
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 134 and 69?
First, calculate the GCD of 134 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 69 = 1 remainder 65 |
| 2 | 69 ÷ 65 = 1 remainder 4 |
| 3 | 65 ÷ 4 = 16 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 160 | 17760 |
| 117 and 98 | 11466 |
| 24 and 68 | 408 |
| 180 and 41 | 7380 |
| 152 and 128 | 2432 |