Least Common Multiple (LCM) of 111 and 53
The least common multiple (LCM) of 111 and 53 is 5883.
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 53?
First, calculate the GCD of 111 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 53 = 2 remainder 5 |
| 2 | 53 ÷ 5 = 10 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 148 | 7548 |
| 144 and 160 | 1440 |
| 76 and 23 | 1748 |
| 118 and 110 | 6490 |
| 124 and 22 | 1364 |