Least Common Multiple (LCM) of 32 and 152
The least common multiple (LCM) of 32 and 152 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 32 and 152?
First, calculate the GCD of 32 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 152 = 0 remainder 32 |
| 2 | 152 ÷ 32 = 4 remainder 24 |
| 3 | 32 ÷ 24 = 1 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 44 | 1980 |
| 71 and 149 | 10579 |
| 162 and 123 | 6642 |
| 75 and 157 | 11775 |
| 187 and 174 | 32538 |