Least Common Multiple (LCM) of 60 and 39
The least common multiple (LCM) of 60 and 39 is 780.
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 60 and 39?
First, calculate the GCD of 60 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 39 = 1 remainder 21 |
| 2 | 39 ÷ 21 = 1 remainder 18 |
| 3 | 21 ÷ 18 = 1 remainder 3 |
| 4 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 130 | 4420 |
| 21 and 106 | 2226 |
| 86 and 136 | 5848 |
| 187 and 129 | 24123 |
| 89 and 60 | 5340 |