Least Common Multiple (LCM) of 138 and 29
The least common multiple (LCM) of 138 and 29 is 4002.
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 29?
First, calculate the GCD of 138 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 29 = 4 remainder 22 |
| 2 | 29 ÷ 22 = 1 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 11 | 1430 |
| 130 and 110 | 1430 |
| 105 and 88 | 9240 |
| 167 and 48 | 8016 |
| 30 and 62 | 930 |