Least Common Multiple (LCM) of 167 and 170
The least common multiple (LCM) of 167 and 170 is 28390.
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 170?
First, calculate the GCD of 167 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 170 = 0 remainder 167 |
| 2 | 170 ÷ 167 = 1 remainder 3 |
| 3 | 167 ÷ 3 = 55 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 72 | 1656 |
| 57 and 119 | 6783 |
| 13 and 127 | 1651 |
| 103 and 15 | 1545 |
| 46 and 134 | 3082 |