Least Common Multiple (LCM) of 150 and 88
The least common multiple (LCM) of 150 and 88 is 6600.
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 150 and 88?
First, calculate the GCD of 150 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 88 = 1 remainder 62 |
| 2 | 88 ÷ 62 = 1 remainder 26 |
| 3 | 62 ÷ 26 = 2 remainder 10 |
| 4 | 26 ÷ 10 = 2 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 152 | 2280 |
| 132 and 197 | 26004 |
| 200 and 91 | 18200 |
| 61 and 158 | 9638 |
| 113 and 74 | 8362 |