Least Common Multiple (LCM) of 85 and 158
The least common multiple (LCM) of 85 and 158 is 13430.
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 85 and 158?
First, calculate the GCD of 85 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 158 = 0 remainder 85 |
| 2 | 158 ÷ 85 = 1 remainder 73 |
| 3 | 85 ÷ 73 = 1 remainder 12 |
| 4 | 73 ÷ 12 = 6 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 129 | 24252 |
| 107 and 75 | 8025 |
| 171 and 12 | 684 |
| 21 and 47 | 987 |
| 62 and 154 | 4774 |