Least Common Multiple (LCM) of 175 and 167
The least common multiple (LCM) of 175 and 167 is 29225.
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 167?
First, calculate the GCD of 175 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 167 = 1 remainder 8 |
| 2 | 167 ÷ 8 = 20 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 137 | 15344 |
| 102 and 51 | 102 |
| 59 and 197 | 11623 |
| 152 and 118 | 8968 |
| 124 and 109 | 13516 |