Least Common Multiple (LCM) of 89 and 38
The least common multiple (LCM) of 89 and 38 is 3382.
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 89 and 38?
First, calculate the GCD of 89 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 89 ÷ 38 = 2 remainder 13 |
| 2 | 38 ÷ 13 = 2 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 86 | 6364 |
| 155 and 133 | 20615 |
| 34 and 65 | 2210 |
| 42 and 134 | 2814 |
| 60 and 37 | 2220 |