Least Common Multiple (LCM) of 153 and 88
The least common multiple (LCM) of 153 and 88 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 153 and 88?
First, calculate the GCD of 153 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 88 = 1 remainder 65 |
| 2 | 88 ÷ 65 = 1 remainder 23 |
| 3 | 65 ÷ 23 = 2 remainder 19 |
| 4 | 23 ÷ 19 = 1 remainder 4 |
| 5 | 19 ÷ 4 = 4 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 100 | 8100 |
| 193 and 38 | 7334 |
| 159 and 47 | 7473 |
| 177 and 176 | 31152 |
| 152 and 113 | 17176 |