Least Common Multiple (LCM) of 33 and 157
The least common multiple (LCM) of 33 and 157 is 5181.
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 33 and 157?
First, calculate the GCD of 33 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 157 = 0 remainder 33 |
| 2 | 157 ÷ 33 = 4 remainder 25 |
| 3 | 33 ÷ 25 = 1 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 189 | 21735 |
| 142 and 118 | 8378 |
| 184 and 60 | 2760 |
| 115 and 73 | 8395 |
| 34 and 80 | 1360 |