Least Common Multiple (LCM) of 158 and 111
The least common multiple (LCM) of 158 and 111 is 17538.
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 111?
First, calculate the GCD of 158 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 111 = 1 remainder 47 |
| 2 | 111 ÷ 47 = 2 remainder 17 |
| 3 | 47 ÷ 17 = 2 remainder 13 |
| 4 | 17 ÷ 13 = 1 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 37 | 7400 |
| 112 and 150 | 8400 |
| 149 and 144 | 21456 |
| 30 and 116 | 1740 |
| 98 and 102 | 4998 |