Least Common Multiple (LCM) of 52 and 134
The least common multiple (LCM) of 52 and 134 is 3484.
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 52 and 134?
First, calculate the GCD of 52 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 134 = 0 remainder 52 |
| 2 | 134 ÷ 52 = 2 remainder 30 |
| 3 | 52 ÷ 30 = 1 remainder 22 |
| 4 | 30 ÷ 22 = 1 remainder 8 |
| 5 | 22 ÷ 8 = 2 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 120 | 1560 |
| 71 and 123 | 8733 |
| 183 and 72 | 4392 |
| 94 and 20 | 940 |
| 116 and 120 | 3480 |