Least Common Multiple (LCM) of 88 and 153
The least common multiple (LCM) of 88 and 153 is 13464.
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 88 and 153?
First, calculate the GCD of 88 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 153 = 0 remainder 88 |
| 2 | 153 ÷ 88 = 1 remainder 65 |
| 3 | 88 ÷ 65 = 1 remainder 23 |
| 4 | 65 ÷ 23 = 2 remainder 19 |
| 5 | 23 ÷ 19 = 1 remainder 4 |
| 6 | 19 ÷ 4 = 4 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 43 | 817 |
| 57 and 134 | 7638 |
| 155 and 86 | 13330 |
| 166 and 56 | 4648 |
| 42 and 65 | 2730 |