Least Common Multiple (LCM) of 175 and 134
The least common multiple (LCM) of 175 and 134 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 175 and 134?
First, calculate the GCD of 175 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 134 = 1 remainder 41 |
| 2 | 134 ÷ 41 = 3 remainder 11 |
| 3 | 41 ÷ 11 = 3 remainder 8 |
| 4 | 11 ÷ 8 = 1 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 192 | 26688 |
| 106 and 175 | 18550 |
| 101 and 71 | 7171 |
| 153 and 30 | 1530 |
| 88 and 120 | 1320 |