Least Common Multiple (LCM) of 147 and 112
The least common multiple (LCM) of 147 and 112 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 147 and 112?
First, calculate the GCD of 147 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 112 = 1 remainder 35 |
| 2 | 112 ÷ 35 = 3 remainder 7 |
| 3 | 35 ÷ 7 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 85 | 9860 |
| 76 and 42 | 1596 |
| 134 and 20 | 1340 |
| 146 and 39 | 5694 |
| 163 and 64 | 10432 |