Least Common Multiple (LCM) of 39 and 122
The least common multiple (LCM) of 39 and 122 is 4758.
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 122?
First, calculate the GCD of 39 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 122 = 0 remainder 39 |
| 2 | 122 ÷ 39 = 3 remainder 5 |
| 3 | 39 ÷ 5 = 7 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 127 | 23622 |
| 82 and 28 | 1148 |
| 111 and 18 | 666 |
| 160 and 167 | 26720 |
| 167 and 137 | 22879 |