Least Common Multiple (LCM) of 42 and 158
The least common multiple (LCM) of 42 and 158 is 3318.
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 42 and 158?
First, calculate the GCD of 42 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 158 = 0 remainder 42 |
| 2 | 158 ÷ 42 = 3 remainder 32 |
| 3 | 42 ÷ 32 = 1 remainder 10 |
| 4 | 32 ÷ 10 = 3 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 18 | 1008 |
| 130 and 175 | 4550 |
| 158 and 19 | 3002 |
| 48 and 23 | 1104 |
| 158 and 45 | 7110 |