Least Common Multiple (LCM) of 155 and 175
The least common multiple (LCM) of 155 and 175 is 5425.
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 155 and 175?
First, calculate the GCD of 155 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 175 = 0 remainder 155 |
| 2 | 175 ÷ 155 = 1 remainder 20 |
| 3 | 155 ÷ 20 = 7 remainder 15 |
| 4 | 20 ÷ 15 = 1 remainder 5 |
| 5 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 158 | 12956 |
| 21 and 35 | 105 |
| 199 and 44 | 8756 |
| 180 and 67 | 12060 |
| 23 and 119 | 2737 |