Least Common Multiple (LCM) of 37 and 167
The least common multiple (LCM) of 37 and 167 is 6179.
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 37 and 167?
First, calculate the GCD of 37 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 167 = 0 remainder 37 |
| 2 | 167 ÷ 37 = 4 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 |
|---|---|
| 74 and 116 | 4292 |
| 103 and 105 | 10815 |
| 184 and 108 | 4968 |
| 168 and 181 | 30408 |
| 116 and 61 | 7076 |