Least Common Multiple (LCM) of 20 and 158
The least common multiple (LCM) of 20 and 158 is 1580.
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 20 and 158?
First, calculate the GCD of 20 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 158 = 0 remainder 20 |
| 2 | 158 ÷ 20 = 7 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 174 | 9744 |
| 123 and 115 | 14145 |
| 44 and 149 | 6556 |
| 128 and 40 | 640 |
| 129 and 96 | 4128 |