Least Common Multiple (LCM) of 37 and 194
The least common multiple (LCM) of 37 and 194 is 7178.
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 194?
First, calculate the GCD of 37 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 194 = 0 remainder 37 |
| 2 | 194 ÷ 37 = 5 remainder 9 |
| 3 | 37 ÷ 9 = 4 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 96 | 1824 |
| 10 and 153 | 1530 |
| 137 and 100 | 13700 |
| 174 and 67 | 11658 |
| 144 and 156 | 1872 |