Least Common Multiple (LCM) of 188 and 158
The least common multiple (LCM) of 188 and 158 is 14852.
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 188 and 158?
First, calculate the GCD of 188 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 158 = 1 remainder 30 |
| 2 | 158 ÷ 30 = 5 remainder 8 |
| 3 | 30 ÷ 8 = 3 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 140 | 4340 |
| 152 and 73 | 11096 |
| 138 and 113 | 15594 |
| 138 and 79 | 10902 |
| 47 and 198 | 9306 |