Least Common Multiple (LCM) of 152 and 32
The least common multiple (LCM) of 152 and 32 is 608.
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 152 and 32?
First, calculate the GCD of 152 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 32 = 4 remainder 24 |
| 2 | 32 ÷ 24 = 1 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 34 | 3910 |
| 34 and 146 | 2482 |
| 149 and 145 | 21605 |
| 129 and 126 | 5418 |
| 86 and 31 | 2666 |