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 |
|---|---|
| 119 and 125 | 14875 |
| 167 and 45 | 7515 |
| 21 and 133 | 399 |
| 118 and 43 | 5074 |
| 151 and 120 | 18120 |