Least Common Multiple (LCM) of 84 and 158
The least common multiple (LCM) of 84 and 158 is 6636.
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 84 and 158?
First, calculate the GCD of 84 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 158 = 0 remainder 84 |
| 2 | 158 ÷ 84 = 1 remainder 74 |
| 3 | 84 ÷ 74 = 1 remainder 10 |
| 4 | 74 ÷ 10 = 7 remainder 4 |
| 5 | 10 ÷ 4 = 2 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 85 | 3060 |
| 200 and 98 | 9800 |
| 143 and 162 | 23166 |
| 144 and 122 | 8784 |
| 33 and 107 | 3531 |