Least Common Multiple (LCM) of 152 and 159
The least common multiple (LCM) of 152 and 159 is 24168.
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 159?
First, calculate the GCD of 152 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 159 = 0 remainder 152 |
| 2 | 159 ÷ 152 = 1 remainder 7 |
| 3 | 152 ÷ 7 = 21 remainder 5 |
| 4 | 7 ÷ 5 = 1 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 147 | 15729 |
| 188 and 160 | 7520 |
| 124 and 128 | 3968 |
| 135 and 162 | 810 |
| 41 and 44 | 1804 |