Least Common Multiple (LCM) of 33 and 62
The least common multiple (LCM) of 33 and 62 is 2046.
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 62?
First, calculate the GCD of 33 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 33 ÷ 62 = 0 remainder 33 |
| 2 | 62 ÷ 33 = 1 remainder 29 |
| 3 | 33 ÷ 29 = 1 remainder 4 |
| 4 | 29 ÷ 4 = 7 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 80 | 1360 |
| 82 and 190 | 7790 |
| 119 and 117 | 13923 |
| 141 and 192 | 9024 |
| 21 and 196 | 588 |