Least Common Multiple (LCM) of 88 and 150
The least common multiple (LCM) of 88 and 150 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 88 and 150?
First, calculate the GCD of 88 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 150 = 0 remainder 88 |
| 2 | 150 ÷ 88 = 1 remainder 62 |
| 3 | 88 ÷ 62 = 1 remainder 26 |
| 4 | 62 ÷ 26 = 2 remainder 10 |
| 5 | 26 ÷ 10 = 2 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 70 | 1890 |
| 42 and 102 | 714 |
| 191 and 92 | 17572 |
| 120 and 83 | 9960 |
| 37 and 165 | 6105 |