Least Common Multiple (LCM) of 37 and 92
The least common multiple (LCM) of 37 and 92 is 3404.
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 92?
First, calculate the GCD of 37 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 92 = 0 remainder 37 |
| 2 | 92 ÷ 37 = 2 remainder 18 |
| 3 | 37 ÷ 18 = 2 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 83 | 15936 |
| 135 and 109 | 14715 |
| 177 and 50 | 8850 |
| 69 and 14 | 966 |
| 100 and 182 | 9100 |