Least Common Multiple (LCM) of 147 and 168
The least common multiple (LCM) of 147 and 168 is 1176.
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 147 and 168?
First, calculate the GCD of 147 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 168 = 0 remainder 147 |
| 2 | 168 ÷ 147 = 1 remainder 21 |
| 3 | 147 ÷ 21 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 147 | 10437 |
| 112 and 142 | 7952 |
| 127 and 186 | 23622 |
| 114 and 147 | 5586 |
| 117 and 60 | 2340 |