Least Common Multiple (LCM) of 147 and 152
The least common multiple (LCM) of 147 and 152 is 22344.
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 147 and 152?
First, calculate the GCD of 147 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 152 = 0 remainder 147 |
| 2 | 152 ÷ 147 = 1 remainder 5 |
| 3 | 147 ÷ 5 = 29 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 144 | 10512 |
| 132 and 138 | 3036 |
| 135 and 122 | 16470 |
| 32 and 77 | 2464 |
| 144 and 80 | 720 |