Least Common Multiple (LCM) of 138 and 133
The least common multiple (LCM) of 138 and 133 is 18354.
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 138 and 133?
First, calculate the GCD of 138 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 133 = 1 remainder 5 |
| 2 | 133 ÷ 5 = 26 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 56 | 728 |
| 185 and 154 | 28490 |
| 37 and 35 | 1295 |
| 49 and 115 | 5635 |
| 118 and 141 | 16638 |