Least Common Multiple (LCM) of 152 and 31
The least common multiple (LCM) of 152 and 31 is 4712.
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 31?
First, calculate the GCD of 152 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 31 = 4 remainder 28 |
| 2 | 31 ÷ 28 = 1 remainder 3 |
| 3 | 28 ÷ 3 = 9 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 195 | 11895 |
| 53 and 66 | 3498 |
| 200 and 164 | 8200 |
| 193 and 72 | 13896 |
| 154 and 66 | 462 |