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 |
|---|---|
| 139 and 129 | 17931 |
| 104 and 120 | 1560 |
| 56 and 31 | 1736 |
| 45 and 24 | 360 |
| 172 and 197 | 33884 |