Least Common Multiple (LCM) of 48 and 158
The least common multiple (LCM) of 48 and 158 is 3792.
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 48 and 158?
First, calculate the GCD of 48 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 158 = 0 remainder 48 |
| 2 | 158 ÷ 48 = 3 remainder 14 |
| 3 | 48 ÷ 14 = 3 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 67 | 7839 |
| 152 and 18 | 1368 |
| 59 and 103 | 6077 |
| 127 and 40 | 5080 |
| 140 and 144 | 5040 |