Least Common Multiple (LCM) of 93 and 150
The least common multiple (LCM) of 93 and 150 is 4650.
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 93 and 150?
First, calculate the GCD of 93 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 150 = 0 remainder 93 |
| 2 | 150 ÷ 93 = 1 remainder 57 |
| 3 | 93 ÷ 57 = 1 remainder 36 |
| 4 | 57 ÷ 36 = 1 remainder 21 |
| 5 | 36 ÷ 21 = 1 remainder 15 |
| 6 | 21 ÷ 15 = 1 remainder 6 |
| 7 | 15 ÷ 6 = 2 remainder 3 |
| 8 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 89 | 4984 |
| 112 and 153 | 17136 |
| 67 and 148 | 9916 |
| 16 and 74 | 592 |
| 89 and 41 | 3649 |