Least Common Multiple (LCM) of 111 and 158
The least common multiple (LCM) of 111 and 158 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 111 and 158?
First, calculate the GCD of 111 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 158 = 0 remainder 111 |
| 2 | 158 ÷ 111 = 1 remainder 47 |
| 3 | 111 ÷ 47 = 2 remainder 17 |
| 4 | 47 ÷ 17 = 2 remainder 13 |
| 5 | 17 ÷ 13 = 1 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 175 | 3150 |
| 80 and 186 | 7440 |
| 118 and 93 | 10974 |
| 48 and 31 | 1488 |
| 142 and 142 | 142 |