Least Common Multiple (LCM) of 147 and 22
The least common multiple (LCM) of 147 and 22 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 147 and 22?
First, calculate the GCD of 147 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 22 = 6 remainder 15 |
| 2 | 22 ÷ 15 = 1 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 150 | 9300 |
| 100 and 119 | 11900 |
| 143 and 65 | 715 |
| 172 and 128 | 5504 |
| 41 and 160 | 6560 |