Least Common Multiple (LCM) of 42 and 168
The least common multiple (LCM) of 42 and 168 is 168.
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 168?
First, calculate the GCD of 42 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 168 = 0 remainder 42 |
| 2 | 168 ÷ 42 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 48 | 2832 |
| 154 and 10 | 770 |
| 183 and 50 | 9150 |
| 160 and 97 | 15520 |
| 107 and 102 | 10914 |