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 |
|---|---|
| 23 and 149 | 3427 |
| 39 and 103 | 4017 |
| 55 and 54 | 2970 |
| 180 and 27 | 540 |
| 102 and 33 | 1122 |