Least Common Multiple (LCM) of 147 and 56
The least common multiple (LCM) of 147 and 56 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 56?
First, calculate the GCD of 147 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 56 = 2 remainder 35 |
| 2 | 56 ÷ 35 = 1 remainder 21 |
| 3 | 35 ÷ 21 = 1 remainder 14 |
| 4 | 21 ÷ 14 = 1 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 78 | 4758 |
| 154 and 154 | 154 |
| 163 and 147 | 23961 |
| 130 and 144 | 9360 |
| 108 and 134 | 7236 |