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 |
|---|---|
| 167 and 185 | 30895 |
| 193 and 107 | 20651 |
| 124 and 62 | 124 |
| 164 and 125 | 20500 |
| 38 and 64 | 1216 |