Least Common Multiple (LCM) of 32 and 150
The least common multiple (LCM) of 32 and 150 is 2400.
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 32 and 150?
First, calculate the GCD of 32 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 150 = 0 remainder 32 |
| 2 | 150 ÷ 32 = 4 remainder 22 |
| 3 | 32 ÷ 22 = 1 remainder 10 |
| 4 | 22 ÷ 10 = 2 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 187 | 1122 |
| 98 and 51 | 4998 |
| 139 and 98 | 13622 |
| 153 and 108 | 1836 |
| 159 and 58 | 9222 |