Least Common Multiple (LCM) of 111 and 153
The least common multiple (LCM) of 111 and 153 is 5661.
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 111 and 153?
First, calculate the GCD of 111 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 153 = 0 remainder 111 |
| 2 | 153 ÷ 111 = 1 remainder 42 |
| 3 | 111 ÷ 42 = 2 remainder 27 |
| 4 | 42 ÷ 27 = 1 remainder 15 |
| 5 | 27 ÷ 15 = 1 remainder 12 |
| 6 | 15 ÷ 12 = 1 remainder 3 |
| 7 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 11 | 330 |
| 114 and 180 | 3420 |
| 76 and 116 | 2204 |
| 162 and 170 | 13770 |
| 111 and 50 | 5550 |