Least Common Multiple (LCM) of 134 and 84
The least common multiple (LCM) of 134 and 84 is 5628.
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 84?
First, calculate the GCD of 134 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 84 = 1 remainder 50 |
| 2 | 84 ÷ 50 = 1 remainder 34 |
| 3 | 50 ÷ 34 = 1 remainder 16 |
| 4 | 34 ÷ 16 = 2 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 52 | 3900 |
| 52 and 98 | 2548 |
| 39 and 25 | 975 |
| 151 and 193 | 29143 |
| 45 and 129 | 1935 |