Least Common Multiple (LCM) of 22 and 147
The least common multiple (LCM) of 22 and 147 is 3234.
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 22 and 147?
First, calculate the GCD of 22 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 147 = 0 remainder 22 |
| 2 | 147 ÷ 22 = 6 remainder 15 |
| 3 | 22 ÷ 15 = 1 remainder 7 |
| 4 | 15 ÷ 7 = 2 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 145 | 14210 |
| 80 and 66 | 2640 |
| 89 and 113 | 10057 |
| 171 and 195 | 11115 |
| 71 and 141 | 10011 |