Least Common Multiple (LCM) of 168 and 42
The least common multiple (LCM) of 168 and 42 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 168 and 42?
First, calculate the GCD of 168 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 42 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 152 | 9576 |
| 61 and 51 | 3111 |
| 105 and 78 | 2730 |
| 80 and 114 | 4560 |
| 149 and 59 | 8791 |