Least Common Multiple (LCM) of 169 and 175
The least common multiple (LCM) of 169 and 175 is 29575.
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 169 and 175?
First, calculate the GCD of 169 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 175 = 0 remainder 169 |
| 2 | 175 ÷ 169 = 1 remainder 6 |
| 3 | 169 ÷ 6 = 28 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 63 | 1764 |
| 129 and 165 | 7095 |
| 171 and 64 | 10944 |
| 120 and 130 | 1560 |
| 133 and 61 | 8113 |