Least Common Multiple (LCM) of 147 and 111
The least common multiple (LCM) of 147 and 111 is 5439.
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 111?
First, calculate the GCD of 147 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 111 = 1 remainder 36 |
| 2 | 111 ÷ 36 = 3 remainder 3 |
| 3 | 36 ÷ 3 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 96 | 5088 |
| 86 and 46 | 1978 |
| 178 and 132 | 11748 |
| 26 and 22 | 286 |
| 106 and 90 | 4770 |