Least Common Multiple (LCM) of 158 and 182
The least common multiple (LCM) of 158 and 182 is 14378.
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 158 and 182?
First, calculate the GCD of 158 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 182 = 0 remainder 158 |
| 2 | 182 ÷ 158 = 1 remainder 24 |
| 3 | 158 ÷ 24 = 6 remainder 14 |
| 4 | 24 ÷ 14 = 1 remainder 10 |
| 5 | 14 ÷ 10 = 1 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 31 | 558 |
| 80 and 123 | 9840 |
| 122 and 107 | 13054 |
| 10 and 79 | 790 |
| 143 and 70 | 10010 |