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 |
|---|---|
| 104 and 105 | 10920 |
| 13 and 90 | 1170 |
| 178 and 171 | 30438 |
| 141 and 38 | 5358 |
| 109 and 56 | 6104 |