Least Common Multiple (LCM) of 152 and 147
The least common multiple (LCM) of 152 and 147 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 152 and 147?
First, calculate the GCD of 152 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 147 = 1 remainder 5 |
| 2 | 147 ÷ 5 = 29 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 64 | 6080 |
| 180 and 146 | 13140 |
| 23 and 69 | 69 |
| 200 and 13 | 2600 |
| 54 and 135 | 270 |