Least Common Multiple (LCM) of 158 and 85
The least common multiple (LCM) of 158 and 85 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 158 and 85?
First, calculate the GCD of 158 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 85 = 1 remainder 73 |
| 2 | 85 ÷ 73 = 1 remainder 12 |
| 3 | 73 ÷ 12 = 6 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 138 | 10488 |
| 31 and 45 | 1395 |
| 102 and 67 | 6834 |
| 12 and 140 | 420 |
| 200 and 15 | 600 |