Least Common Multiple (LCM) of 147 and 67
The least common multiple (LCM) of 147 and 67 is 9849.
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 67?
First, calculate the GCD of 147 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 67 = 2 remainder 13 |
| 2 | 67 ÷ 13 = 5 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 50 | 8550 |
| 41 and 144 | 5904 |
| 164 and 141 | 23124 |
| 11 and 88 | 88 |
| 179 and 61 | 10919 |