Least Common Multiple (LCM) of 39 and 29
The least common multiple (LCM) of 39 and 29 is 1131.
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 39 and 29?
First, calculate the GCD of 39 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 29 = 1 remainder 10 |
| 2 | 29 ÷ 10 = 2 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 77 | 8701 |
| 177 and 186 | 10974 |
| 93 and 92 | 8556 |
| 101 and 90 | 9090 |
| 171 and 83 | 14193 |