Least Common Multiple (LCM) of 33 and 149
The least common multiple (LCM) of 33 and 149 is 4917.
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 149?
First, calculate the GCD of 33 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 149 = 0 remainder 33 |
| 2 | 149 ÷ 33 = 4 remainder 17 |
| 3 | 33 ÷ 17 = 1 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 120 | 1320 |
| 149 and 158 | 23542 |
| 126 and 176 | 11088 |
| 21 and 122 | 2562 |
| 143 and 103 | 14729 |