Least Common Multiple (LCM) of 38 and 87
The least common multiple (LCM) of 38 and 87 is 3306.
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 38 and 87?
First, calculate the GCD of 38 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 87 = 0 remainder 38 |
| 2 | 87 ÷ 38 = 2 remainder 11 |
| 3 | 38 ÷ 11 = 3 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 165 | 17490 |
| 107 and 120 | 12840 |
| 15 and 46 | 690 |
| 77 and 159 | 12243 |
| 153 and 154 | 23562 |