Least Common Multiple (LCM) of 112 and 147
The least common multiple (LCM) of 112 and 147 is 2352.
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 112 and 147?
First, calculate the GCD of 112 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 147 = 0 remainder 112 |
| 2 | 147 ÷ 112 = 1 remainder 35 |
| 3 | 112 ÷ 35 = 3 remainder 7 |
| 4 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 21 | 2604 |
| 18 and 72 | 72 |
| 57 and 132 | 2508 |
| 74 and 141 | 10434 |
| 54 and 88 | 2376 |