Least Common Multiple (LCM) of 37 and 33
The least common multiple (LCM) of 37 and 33 is 1221.
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 33?
First, calculate the GCD of 37 and 33 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 33 = 1 remainder 4 |
| 2 | 33 ÷ 4 = 8 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 97 | 11155 |
| 120 and 76 | 2280 |
| 125 and 53 | 6625 |
| 182 and 54 | 4914 |
| 147 and 13 | 1911 |