Least Common Multiple (LCM) of 167 and 130
The least common multiple (LCM) of 167 and 130 is 21710.
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 167 and 130?
First, calculate the GCD of 167 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 130 = 1 remainder 37 |
| 2 | 130 ÷ 37 = 3 remainder 19 |
| 3 | 37 ÷ 19 = 1 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 73 | 13870 |
| 135 and 92 | 12420 |
| 25 and 86 | 2150 |
| 71 and 122 | 8662 |
| 101 and 106 | 10706 |