Least Common Multiple (LCM) of 53 and 88
The least common multiple (LCM) of 53 and 88 is 4664.
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 53 and 88?
First, calculate the GCD of 53 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 88 = 0 remainder 53 |
| 2 | 88 ÷ 53 = 1 remainder 35 |
| 3 | 53 ÷ 35 = 1 remainder 18 |
| 4 | 35 ÷ 18 = 1 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 155 | 5115 |
| 20 and 23 | 460 |
| 57 and 141 | 2679 |
| 108 and 142 | 7668 |
| 118 and 52 | 3068 |