Least Common Multiple (LCM) of 39 and 137
The least common multiple (LCM) of 39 and 137 is 5343.
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 137?
First, calculate the GCD of 39 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 137 = 0 remainder 39 |
| 2 | 137 ÷ 39 = 3 remainder 20 |
| 3 | 39 ÷ 20 = 1 remainder 19 |
| 4 | 20 ÷ 19 = 1 remainder 1 |
| 5 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 134 | 11926 |
| 128 and 72 | 1152 |
| 77 and 196 | 2156 |
| 172 and 78 | 6708 |
| 162 and 149 | 24138 |