Least Common Multiple (LCM) of 37 and 164
The least common multiple (LCM) of 37 and 164 is 6068.
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 164?
First, calculate the GCD of 37 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 164 = 0 remainder 37 |
| 2 | 164 ÷ 37 = 4 remainder 16 |
| 3 | 37 ÷ 16 = 2 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 70 | 5670 |
| 85 and 17 | 85 |
| 60 and 153 | 3060 |
| 48 and 78 | 624 |
| 27 and 137 | 3699 |