Least Common Multiple (LCM) of 152 and 66
The least common multiple (LCM) of 152 and 66 is 5016.
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 66?
First, calculate the GCD of 152 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 66 = 2 remainder 20 |
| 2 | 66 ÷ 20 = 3 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 96 | 2400 |
| 150 and 116 | 8700 |
| 181 and 39 | 7059 |
| 96 and 97 | 9312 |
| 89 and 138 | 12282 |