Least Common Multiple (LCM) of 134 and 175
The least common multiple (LCM) of 134 and 175 is 23450.
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 175?
First, calculate the GCD of 134 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 175 = 0 remainder 134 |
| 2 | 175 ÷ 134 = 1 remainder 41 |
| 3 | 134 ÷ 41 = 3 remainder 11 |
| 4 | 41 ÷ 11 = 3 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 71 | 4473 |
| 18 and 105 | 630 |
| 165 and 24 | 1320 |
| 86 and 46 | 1978 |
| 110 and 159 | 17490 |